Division Of Polynomials
Class 8th Mathematics (new) MHB Solution
Class 8th Mathematics (new) MHB Solution
Practice Set 10.1- 21m2 ÷ 7m Divide. Write the quotient and the remainder.
- 40a3 ÷ (-10a) Divide. Write the quotient and the remainder.
- (-48p4) ÷ (-9p2) Divide. Write the quotient and the remainder.
- 40m5 ÷ 30m3 Divide. Write the quotient and the remainder.
- (5x3 - 3x2) ÷ x2 Divide. Write the quotient and the remainder.
- (8p3 - 4p2) ÷ 2p2 Divide. Write the quotient and the remainder.
- (2y3 + 4y2 + 3) ÷ 2y2 Divide. Write the quotient and the remainder.…
- (21x4 - 14x2 + 7x) ÷ 7x3 Divide. Write the quotient and the remainder.…
- (6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2 Divide. Write the quotient and the remainder.…
- (25m4 - 15m3 + 10m + 8) ÷ 5m3 Divide. Write the quotient and the remainder.…
Practice Set 10.2- (y2 + 10y + 24) ÷ (y + 4) Divide and write the quotient and the remainder.…
- (p2 + 7p - 5) ÷ (p + 3) Divide and write the quotient and the remainder.…
- (3x + 2x2 + 4x3) ÷ (x - 4) Divide and write the quotient and the remainder.…
- (2m3 + m2 + m + 9) ÷ (2m - 1) Divide and write the quotient and the remainder.…
- (3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2) Divide and write the quotient and the remainder.…
- (6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2) Divide and write the quotient and the remainder.…
- (7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1) Divide and write the quotient and the remainder.…
- 21m2 ÷ 7m Divide. Write the quotient and the remainder.
- 40a3 ÷ (-10a) Divide. Write the quotient and the remainder.
- (-48p4) ÷ (-9p2) Divide. Write the quotient and the remainder.
- 40m5 ÷ 30m3 Divide. Write the quotient and the remainder.
- (5x3 - 3x2) ÷ x2 Divide. Write the quotient and the remainder.
- (8p3 - 4p2) ÷ 2p2 Divide. Write the quotient and the remainder.
- (2y3 + 4y2 + 3) ÷ 2y2 Divide. Write the quotient and the remainder.…
- (21x4 - 14x2 + 7x) ÷ 7x3 Divide. Write the quotient and the remainder.…
- (6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2 Divide. Write the quotient and the remainder.…
- (25m4 - 15m3 + 10m + 8) ÷ 5m3 Divide. Write the quotient and the remainder.…
- (y2 + 10y + 24) ÷ (y + 4) Divide and write the quotient and the remainder.…
- (p2 + 7p - 5) ÷ (p + 3) Divide and write the quotient and the remainder.…
- (3x + 2x2 + 4x3) ÷ (x - 4) Divide and write the quotient and the remainder.…
- (2m3 + m2 + m + 9) ÷ (2m - 1) Divide and write the quotient and the remainder.…
- (3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2) Divide and write the quotient and the remainder.…
- (6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2) Divide and write the quotient and the remainder.…
- (7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1) Divide and write the quotient and the remainder.…
Practice Set 10.1
Question 1.Divide. Write the quotient and the remainder.
21m2 ÷ 7m
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = 3m, remainder = 0.
Question 2.Divide. Write the quotient and the remainder.
40a3 ÷ (-10a)
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = -4a2, remainder = 0.
Question 3.Divide. Write the quotient and the remainder.
(-48p4) ÷ (-9p2)
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient
remainder ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAVCAMAAAAZ+LyiAAAAAXNSR0IArs4c6QAAAEhQTFRFAAAAAAAAAAA6AABmADqQAGa2OjqQOmaQOpDbZgAAZjoAZrb/kDoAkGY6kNv/tmYAttv/tv//25A62////7Zm/9u2//+2///brd/baAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAa0lEQVQ4T92Stw6AMBBD7+i9JuT//xQ5CWIBIyYkPNz0FBdF5G9yvWox8Vauy1bbpTOlTDKIGG0pNOKRrc4ZBDdAuNCoh+AQFaBwb/UCOjNd2kkMXtF2C9o/TYBiPhidwTaqpZ+BbvXZb9wBdZ0EuCX6ps4AAAAASUVORK5CYII=)
Question 4.Divide. Write the quotient and the remainder.
40m5 ÷ 30m3
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient
, remainder![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAVCAMAAAADxFwsAAAAAXNSR0IArs4c6QAAAEhQTFRFAAAAAAAAAAA6AABmADqQAGa2OjqQOmaQOpDbZgAAZjoAZrb/kDoAkGY6kNv/tmYAttv/tv//25A62////7Zm/9u2//+2///brd/baAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAbUlEQVQ4T+WQtw6AMAxEbXoJhJKQ//9T5JQBCeVgYeEGT0++QvQXuYm5WXBbp6rdqnKFpClmIsMjBLU8O/oageIsoNwkzUniFhXAcLN6CV4z3lpTLNOhMrTJMk/mkcI+KJzIDsytnwhuCeN9AZwi8AS48aa42gAAAABJRU5ErkJggg==)
Question 5.Divide. Write the quotient and the remainder.
(5x3 - 3x2) ÷ x2
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = 5x – 3, remainder = 0.
Question 6.Divide. Write the quotient and the remainder.
(8p3 - 4p2) ÷ 2p2
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARMAAAAsCAMAAABxLKxGAAAAAXNSR0IArs4c6QAAAI1QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZmZmZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNvbkNv/tmYAtpA6tpBmttv/tv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2//+2///bYPysxQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADpUlEQVRoQ+1Ya3fTMAyNy0bDRgfLgBE2Fhhpy5Im///n4WfihxxbLj2nOU0+bD0nvrnStSRLzrLlWRRYFAgr0D8RsnkNr7ugFX35/u1QvvtzQS4HXW1WL1nWkO/BhRe0oGIh0hXrC3I55CpLHaYJ+7s8QgGhifi7PIsmvhhQubPUE00hWWPvl8QZFajZMbycxUZIsCMHVWK3N2T1DRNVf78Q8gkDUGuTgSlkBuZATb5zT53+9wbsbfsfz9mO9XmxT/cgAfUdboIYgLFMp17Xl5/9p3P7AaEJs1QA2lt0t4xmOqEufSmK7u6GuJlyeHqcoq7dKKrF1yY87Pc0XK8dqSVw0lOAD1jvIUBo2IihsF5R73fEPJQqcjWlSZs7muxUOam9rWFFHrNDYY+iA3DCdIAPWg0T9GV06PYl71fkv8r2ZJ/7v9QVX21N6qHC6oFyKHSpK0bIz0DtGYF+TQA+cDFIQD2M1qQVTitN1vSwXv38lbPjo3t4yeRrmPteTtoKkDUU1QhqlZLst6kJf81agpFJB/o1qRy+iZhyeg6EJtwtbiTLHXGb8PFVZNE2nzqLm82bAA+AriD0kdvBd8v78P4RBvowLl+QQF+QoEm2z2mNFS5Sr8J9DIsipQkEcNJQN1CEn4epYsryR0/NEJ8pkBvfCE1qWezanAaG1unaLtmG8tygmtQsB5iDDkCUJtBBmVgwEN59L98UgfqUvWYQHfjB9krshXaRICxVWnkjWX1OaWIDJuJEFi8pZohJWNCE+Mw8cRMXESdSE3n9xtIcsXta7rhx4q8n1Vo0iR4mOHc4YExuh0/XRBEk1pPh3OGhzjZXZnnMlYJRT0xAp52/1rnDW5eGpZ6oXDFMMlj0gueHDQSJmiiTakI7fH7aNITavI2ac0RfCQL8/Ql/01c4JuHdBJ/m/kiQqEkm+1je218/cxdvc3LFfoUemuPi8AYAU30sLw1ck1imoaZ4+TRbZe5Z90TBeqLN5npzpWV5SA/tPXQlEzXRJd7lJMKMoHFnLmM2t+diNCUAiJuL0UwqXKK7dN/OwiORNrla9ydoS11A5P0Jmun/aQLNXLReee5lW9rPovYBDVCblwhMhLkhY81cdLRJuiNEVJnzX2rOXDRKFknsmUsb6s9/P09joT1zGUP9aSjP/aspM9e5+3SsfYGZ69jPzxGfPnPN0dsom4+YuaK+P8dF40iEnbnm6C3W5sReGkszq/WLJnCDP6tNPL2xwPD0DySmYtjZdXEBAAAAAElFTkSuQmCC)
Therefore, quotient = 4p – 2 , remainder = 0.
Question 7.Divide. Write the quotient and the remainder.
(2y3 + 4y2 + 3) ÷ 2y2
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = y + 2, remainder = 3.
Question 8.Divide. Write the quotient and the remainder.
(21x4 - 14x2 + 7x) ÷ 7x3
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = 3x, remainder = -14x2 + 7x.
Question 9.Divide. Write the quotient and the remainder.
(6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcoAAAAoCAMAAABJuUrTAAAAAXNSR0IArs4c6QAAAJ9QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjqQOmY6OmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmYAZmZmZpDbZrbbZrb/kDoAkDo6kGY6kGaQkLaQkLbbkNv/tmYAtmY6tpBmttv/tv//25A625Bm27Zm27aQ29uQ29u229v/2////7Zm/9uQ/9u2//+2///bc/8SOAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAE/klEQVR4Xu1a/VvTMBBuBkpFBBmKOuoUilA2lX7k///bzCVpl+8mtdLVZT/w8Ixc7u59c5e7C0kSPxGBiEBEICIwBgJ4jdDZwxg7xT2mRQBnr5/r7OhxWiui9hEQKBd3SVKimxG2iltMi0AOAdksT6a1Imr/ewQgvwKV8DN+Zo0Ao5L9jJ9ZIxCpnDV9ovFtgo135fwp5WXP5fw9OXgPCuhDYjPyP5wDKF5Dqp4CIQStqP+nSoOa1qdTtPjiv3uS/PqA0EWIQLs2XPDlbBviT1ITJM61+hX/ODMPgIogXohF+OtpiAj+eptsQs5Kc8UFivOw8WMn6A3bcNu8VYy/EGfvLd1JMJXFKguhEnyp3gSFfStQvQ1VFK4pXCLYmXHZxFlbBuH7VG45IcG60lmhRFR5gR1Ubk5JulbTab1e2dzBW5JDXmlEF8xcB2puQZM6DLZpqgbbZvFIhcuybPsx8HB3+5TteL1ML35ru7suvyqVqWyuH3G2+rYLcYnYYkFI2yC5fM7RsUilJJCjVVIv1eH/pj1bhXXS0SNoQDBf3CZ1phxMxTZJzEeFeqxVuNoN5XXkDpRddkWH7ArOeJtZpqb42MWshkCz/Cw7D0GMkICwaAXXk6sEbMVCSaYSDKNFt/ApuiwhhmW9FE9I7hY0UWmSSBLJNplKDxUKBxpcRiqr84diKJVt2HVT9hzYIKzckCLmLnFEZX5JX1p266HukRKsicoTQaC5UhToJxBaJ0FDSZgsGbniIZOppH+2C9oSOnTdO1WabbpYjwrFGRNc3BHltA6lktLBXWfW5uQbaga+J5eb9Sorz56ZbLee/P4zFe2QnClJvmT16k7gKZVvT51KOtXoBJolxD33nAaf9eMQNMrUa1oU223TpXpUyM4Y4fo3VOZH36Fn4/N2Xls4oIJTy6iETtW8XnZmm/Iu1VeA7M2SgllAy9WitU5BehHAp7sg4IzQLs1um4aFSwVLG0K0OeBSz+/gBMsFcYZIS7JN4c6p0nda3Uoyj+Q+TW+ESuhXTOshVcl4VbA3u/r8BCgavFw1WJRwKjVFDEaHoPmAbllCGck2T7hMxgtUan/uttV/oXQw32k9wuDxqJrLdi+gxrZeviuFFzYfAWpUm0NNAo6odAtack3JqmsP5xlgLtvUqHTBNVpUylTSE9Fcf/L7/x8ua10vGsnLKjbRtylQK4UT3tgYBRx3Ze4W1BMsQE/ThrfzbhVagoUvLHCNRmVbolKMaVSSwtXzn0b4XWldr0dljwLZK9o5lgRfo0WN0IAoFaxbUA9Klo7pO4Ov8x4qtBrOAtdoVLaJokrJSd5AC5LDLai08uacRHORY708IoDLGEYEvgK0cYTFZgF7X9kjaKKSOFLDFePrvI8KjUoLXBqVcrfuPyJI2mlPBWOyW3IHkLoOCrr+V01yASzuXOtlK+hwzK1AmfbQRHhp0eCa9jgFDceyXpPqmlTv3s7zesRmG1WhcmCDS1qHwRJ0LMw3+6nsXn0c8xxLfbAXX088uZ4KA8N8WXj1sb+MTGWvh94BLyMeu+7/EvPwt3tcsL5X7q9noe+V++tJoGXG+TLpoPqvw0BFcfmLIKAMf8k8dNB/VryIrVGJEwF5+EtiMjI50xOjDn+F56KZenSoZqvzZem56FBBmaXf/cPfWbp1iEb3D38PEZU5+uwx/J2jWwdos8/w9wBhmaPL9uHvH2ICs2o10aCJAAAAAElFTkSuQmCC)
Therefore, quotient = 3x3 – 2x2 + 4x + 1, remainder = 0.
Question 10.Divide. Write the quotient and the remainder.
(25m4 - 15m3 + 10m + 8) ÷ 5m3
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfIAAAArCAMAAAC0CfqxAAAAAXNSR0IArs4c6QAAAI1QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZpDbZrbbZrb/kDoAkDo6kGY6kGaQkLbbkNv/tmYAtpBmttv/tv//25A625Bm27Zm27aQ29uQ2////7Zm/9uQ/9u2//+2///bv7QKgwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAEQUlEQVR4Xu1baUPcIBAF67G1Hq3Vdo3WjRrdugf//+cVBhICAcIm7EoDfFi1zcDkvRmOeQtCuWUEMgIZgYyANwLr2b33s90H387x0e8R9tk0GALk+fLVqzPycD6CcvLwhN6PFl4jDXmounoZYpaiDSm+fxhS0sBNNS+8KX8zcrv+uj/K0fqbt3cp8izfmRQ/2B9keYvxCSNkPcO0GdJxdU2clC/vgE+rPUKbx7kDbGGPyCPGl/4Z+35OvYUFY68BNaEoWX2BWb3Ec7S5Yb/bFuztr1dSzP8YZgRAY3OLeU/2Bb/Ex23K1QBq7Elx+rEpeF/GptpVR7TPdwxxW53avJsQYaNfhRRn0EfJflSYTo02yiqW/NgG6vrqpeqjHKFle/+nUCftV2yCWTFPfCgX/pfgV05zn3hQCAagm39ZYXz/NsPXCD5Yc0/sOuWa/fbnQg0nvTdhX7LI2d6cUdr18fkLKXY15RC4YpHyee+En4GcqhugLYNgPbtY0My/eEIVf+rvzDHfok6Wa/Y0cpRDmplyNq8zyulnZ3wD5TQw2MQu3gLmqtzcCLQp52RToGf1Rg6Sni6TXgfyhnJPexflQDyM2h1fs1vS7WYdt3x+z82JgOCpNS2SB7qRKxiIAnLT+l7Cwq5u7UVXI+15lrcpb4/fHRdCAjYhtGXKPcJdZnm9kQMjmVuS977eWtHjZe+e2OkUbQk5bS1vIiRT3scQ/39JeXnWmhTZ9smV5abO25T72Lu3b/Vy0g05xQ4Gouktjpp5Le+nvVml4Uy7okCX7Ig7Isu97S2UwyQtzw49lPN1QMzo2xs4nufmRKCezuFISxhdJV3GeSlE4A755oGl2NZ723co55swtlnnRFrG10oxmNaLRSlmwLnca2NqRTBOpajPq6b6Bpsxyuzmjv5kEgWrnN7LD3fukEdWpz2mhU9ve3VNbuxZHQ9fUcZt42uhwgquJ0/gXVN9S1op6tWvJlS+aJI8JaVoiH5lxuc/XA8bJS0RpWiwfkVXcF+9PO4wkHp5IkqRt34VN28hvJuuUrRRTiSunaeiX4UANe4+pqsUWSjv06/ipiuEd6koRVb9S9evQoAadx+pKEV++pdJDYmbvwHeDVOKjNBEpBR1/fPSr7r4NYLYZH5pywYJKEVDKuMD0ihyk6SUol79KomJfbpKkbpj99avIk/RAO5NVynSKB+qfwXAOLYuJqkUdUH21q8Oyo+p5t8n7Y13cIpK0XhU9t6DtebfK+0FcG16SlEAUPbehfOrBwO+yrCbw5NTinZ7/c952kW5+2ra5/ibRx2NgKS8c+lEu5o2eqjcQRwItLK8e+kkMWkvDkb27oWs+WuXTjpX0/buSh7gMAjImr/+dfj0pL3DIB7HKPy70I57TnG4mb0IhwC/SpIpD4dozD3Jmn+mPGaeAvom76zseukloBO5q0Mi0NT8d7v0Mt7FfwR502MAwOCgAAAAAElFTkSuQmCC)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAArCAMAAACXUqtkAAAAAXNSR0IArs4c6QAAAI1QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZpDbZrbbZrb/kDoAkDo6kGY6kGaQkLbbkNv/tmYAtpBmttv/tv//25A625Bm27Zm27aQ29uQ2////7Zm/9uQ/9u2//+2///bv7QKgwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAFf0lEQVR4Xu1b61rbMAyNOzY6xmXrxlZKVzIIdKRp3v/x5vslsRzFTWFpnB+FD2RZ1rFkWafJsvQkDyQPJA9M0APPF2T2a4LrnsqS6/tN9jJ7EMut/1w9RS68uH6MHJmGDeiBZ4mkq3L3Wfy5Xn19Vf/xSwZM2X25G9DQpKqvB3ZzQh8Vqs7oar2U+H5jPwOS7UnrlwtCPvL9obYJYNn2Vu6iNSFX6Ghn6tMJggF7N4cCLCdnAuDyA8/PsKRnnny2yaqV2DfFJx3/LBs481U/iNBerz69Vivxu/dxBhYzatoL4RsvPUEPhGDbcvDr1TnX0A9gNqYgHEwnhF2Ad9ePhQC1ZJuhFAM6AZYm5fbOSTj7PaBhKwm5e56Tm4x/ZPvvDxJSJQFJwp7NVXBakdaIYLoLhBCX3S/OKciOHVq7PVABLHZeekIeMHG5m18+0KC73GQFiyaKszjkeGw5EdyQBNRXa1VA5xYQAMAsQzOA6Seg3RlYEpaivZVDgtv1AHXnXFRDHOrdnEabm4wNwF2Stub9gpBrefbaqTQIMIcZsMMduKW1YcIXs5nr+6WshqRjOcr2UShzaBaQzFklzh/b6du5rJkUwF4xoV5EsA2wbUdrIN+H8ojHrHLqMiZuDcraJyqCZZ5WEe6RbLqxlGUuOoLZGawiuLnR3DNYb4epQ4dbf8ix+gzmqoKSzcn4vqEP4gxWRRa8fWyAuRWyMMOtcLpSOcMgGMEqYXdLGi/WK6ZW3nr2C0QVzfMtHwAcFe0IztI1CbFvc3pqigaD9C6PIbuDoO7B3ZI2wFytuKcG7sH0v7xkFwW0OIgBO9xGB6HN04hGR6+7fMt7/yf/0mFVdUtLI3afYZ3IO/NhrU52shCSZlC1pupuRBUd6GTVTIycsesY7Wnxshuyw62ieSd0I+dDcyH1/cUBjXGHf0HETl+ROF5mAKtEvo1+OnrR0Xr1QJsLMdp8rEixdBulobnD/MvhVns0IHiZ41jl9yByjQirkZoAMbn/6i1NAfJCD/An5U3rFu7olLwHgn/xmxLHm2SGOAnFQrRVGO+ic2BbWVzewRilZOQJktPmVrVgxQR00O5/PtWr5W+L+XCm0bwHgn8RA93tEsmb0CLEECfOaeY6AW1VH9+NQVbXgJregFxR8FYMRFAY3qObf1Fnv53wI3kTxeWIG4ETwpV9+whyPYIVOtHHgcPcs9hq27xFOEXLnl03/+IDmP4thjfRAPObvVPuAACDrNCJAuw02jgnBfInWfZXdU+9zmgC3OQ9NP8SBLgnb0K3oUWc2D0hKEVDrNAEABbQdvMngCs0wEhWpZkPoLZ6k79pjLOJE7h3g1uVnxUYNfSKCzEJrps/oV1OHz0iVWHGexVE8SairaSIE5iXQVnVRlKvc6S/GLrafPWErzLYfQ1HMHp8KIKxvInNo9GJO7qvMasadfiySkozlPm5dQPqxYpIH1jJAMWq+AHux5uIiTRxAp/B3MbOVZ1gitYlFb9DljTd9WFFnO2tquBO/iVcRffiTWQEy9B1eBm3io5e1dgjWH8nkH2Ju2Zu6MOKuACLZIAe34rgGN6EHr+GOAncg9FWjR3Qlv26k8XLCApwL1ZEqzO8B3q8A3A0b8JblZI4CXSy0Fa9BcC+lvjRuLYDuZC38Ad2jqPzMlhDYDmwJT4AqwXNehAXcviSh9NwdF5mAFODjPqxNugBXMgASx5MxfF5mQFMDQGs3nUaYJqk4r08YABudfr1u07vZVuadwAPWBHcfkPhpFmtAZw3BhWmJd54Q8G86zSGZSQbwYpWvyjR/Pprk2tLPhyvB8TXbqFXYca7rmS59IDonyeAT3FDmJZ4AvgU8bUa9eCbEie57sksSrfEA29KDOmMfxttzB3FvrBaAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
Therefore, quotient = 5m – 3 , remainder = 10m + 8.
Divide. Write the quotient and the remainder.
21m2 ÷ 7m
Answer:
Therefore, quotient = 3m, remainder = 0.
Question 2.
Divide. Write the quotient and the remainder.
40a3 ÷ (-10a)
Answer:
Therefore, quotient = -4a2, remainder = 0.
Question 3.
Divide. Write the quotient and the remainder.
(-48p4) ÷ (-9p2)
Answer:
Therefore, quotientremainder
Question 4.
Divide. Write the quotient and the remainder.
40m5 ÷ 30m3
Answer:
Therefore, quotient, remainder
Question 5.
Divide. Write the quotient and the remainder.
(5x3 - 3x2) ÷ x2
Answer:
Therefore, quotient = 5x – 3, remainder = 0.
Question 6.
Divide. Write the quotient and the remainder.
(8p3 - 4p2) ÷ 2p2
Answer:
Therefore, quotient = 4p – 2 , remainder = 0.
Question 7.
Divide. Write the quotient and the remainder.
(2y3 + 4y2 + 3) ÷ 2y2
Answer:
Therefore, quotient = y + 2, remainder = 3.
Question 8.
Divide. Write the quotient and the remainder.
(21x4 - 14x2 + 7x) ÷ 7x3
Answer:
Therefore, quotient = 3x, remainder = -14x2 + 7x.
Question 9.
Divide. Write the quotient and the remainder.
(6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2
Answer:
Therefore, quotient = 3x3 – 2x2 + 4x + 1, remainder = 0.
Question 10.
Divide. Write the quotient and the remainder.
(25m4 - 15m3 + 10m + 8) ÷ 5m3
Answer:
Therefore, quotient = 5m – 3 , remainder = 10m + 8.
Practice Set 10.2
Question 1.Divide and write the quotient and the remainder.
(y2 + 10y + 24) ÷ (y + 4)
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAAtCAMAAAC+oPj3AAAAAXNSR0IArs4c6QAAAIRQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6Ojo6OjqQOmaQOma2OpCQOpC2OpDbZgAAZgA6ZjoAZjpmZmZmZrbbZrb/kDoAkDo6kGYAkLaQkLbbkNv/tmYAtmY6tpBmttv/tv/btv//25A627Zm27aQ29v/2////7Zm/9uQ//+2///bh2PKmgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACgklEQVRYR+1YaVfbMBCUCsQQ0iYFinvEDdQtka3///+6umwd63i7CXnlPfwp2Du7o1ldgxDvz4QCerf8RRWnvX0aQrm4opauP+0JBPTP6griuptHH0zEifbDFhAjDiGwRuvrOpSyn1W1erE/umuTUAhdo7gMBvGVZTDgymLqAm9BmkpVXwK0NVIAJRyXM+g3D46B8DhEgoUdkJRX+66SPtq+ijToNybKPU4EXeO4nEGzVj5nEC+n0FW2kK7NyEKwexMxUHL8w8k/hcubt9yHpBNtG4q2RtR2HGnKoLn4fiflys3YxkSFvDkuZdB/3o7DsjhkGgSNQAv91XVMNDI87is0CdbLn8rNvSaWy2gRcDnMzVbg2loFLa587Bh8X1UcEg/G9SiksJmmcFnz/EgOMRhaDymbeP0hDHzVRANDJcYVqzHqAq7BwKDffLyP12WSqrFKeRmTeSAy3CEG+Dzwc9o2P9liklRdtdiL325B9JtoLRS4koHbEwOunAduXZsn22LSVB0shcsfNi7eD0pcwUBJv8lM7QdjYYWLVJDO98R/xGEigKiwnoaliK2Y6F1yLjBwSHpzxul69Y0mQXo2cnAYhd3yuZa3lCNaZPcDFm5G5PfPr69AcXa8fsm5CsMheJ4fc3TO8f0/7MI5hv3Wa5zMF3GFOJkv4hMg+SmCL+IyoPkpuDXN+SIugSlflHoJuN/N+iIuA5qfEmreF3EZTPmizFMSfNGxDGJfhPgpgi/iMiD5KbgLu+eQL+IyIPkpd9MPrn/CGx7N4KCfShnQ7rtURjQ/ZbLN+SJqxTyO6KegCbO+iEth2BOP9kVcBvY/EKfxRXwKPD/FrYfg4H5wSl/0F+LlTQXOZ2Y+AAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
Therefore, quotient = y + 6 , remainder = 0.
Question 2.Divide and write the quotient and the remainder.
(p2 + 7p - 5) ÷ (p + 3)
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = p + 4 , remainder = -17.
Question 3.Divide and write the quotient and the remainder.
(3x + 2x2 + 4x3) ÷ (x - 4)
Answer:![](data:image/png;base64,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)
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![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = 4x2 + 18x + 75, remainder = 300.
Question 4.Divide and write the quotient and the remainder.
(2m3 + m2 + m + 9) ÷ (2m - 1)
Answer:![](data:image/png;base64,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)
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![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = m2 + m + 1, remainder = 10.
Question 5.Divide and write the quotient and the remainder.
(3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2)
Answer:![](data:image/png;base64,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)
Rearranging the terms we get,
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![](data:image/png;base64,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)
![](data:image/png;base64,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)
Therefore, quotient = x2 + x – 5, remainder = x – 2
Question 6.Divide and write the quotient and the remainder.
(6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2)
Answer:![](data:image/png;base64,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)
Rearranging the terms we get,
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT0AAAAuCAMAAABtcD4uAAAAAXNSR0IArs4c6QAAAJZQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmY6ZpDbZrbbZrb/kDoAkDo6kGY6kGaQkLbbkNv/tmYAtmY6tpBmttv/tv//25A625Bm27Zm27aQ29uQ29u22/+22////7Zm/9uQ/9u2//+2///bAKwOIwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADb0lEQVRoQ+2a63bTMAyAkzFYKWxLtwGlGyywZS2wtPX7vxyxc5Nly1Z2Dk1Y5V89R3Ilf5GvUpJIEwKTJLCdfZ2aX0/z9OTL2E79vk7Ti5gT6nY+NXrq9nuyPrmPef5v5fsrjhPFcjU1ehrL9v3I9FhOlBcqQE9tqvB9Gx8HV48dLru7JakbMcbwZXMTH5I2X2Rhh/efHtVq+e2Z0MrTZbJbvHn0iC3oAT02MKiYp6eQnv2BI8ZcMYqP3XVqj4iKn3Vs2StS3d6R9M70F0h9U9umR+u9iF6SbOBehuiFjeWO2O6+PX8oWPQKEp5az9sdJTRzzdBLTQ90qHm43fx6Fj3nX7zS/dV9Yp0EPC4aY3SzxE73EL3OxbKCV3qNqNXZs8rrbe3XzDsze8/ySg47UPT8enCE7r/4pU8z+8TioaeNBZolHkKvc3G/0LOS/kTMg16vFo4HQs8ZYtisV+rSi/hui4fQM+5yyDg6uVkEdQOHLbXqNp6ug0+Rq9e75jU32KmIL14jYObynEAhoDY3s1BcdupVJNfLHO6APiipZ69sQbOkUzh4WmPE1MXiQbHHIKNnNys+k7xSNHsE7oBcIvXwykabpZ3Cw2+MUeseFg+hxyFT6qnJmd2FPsyUWeJ2sF2i9eAQw2ZpKRp+a4yg54iH0OOQ2c6yZPc5/jxg7ksqzyrSuIPlUkAPDjFslpaiA1vrlJ9e5wtYfdDWWdiXaPj3LDI/qtPen0X4zFRZb9bUat9wOqC7htlsfHrWEMNmSSm+a7TGvPh6n1ux3V3dVSt+egrecCw5k0zouCQyISAEhIAQEAJCQAgcnID3KnxwL16Nwe4xRX5ECLyaTz7WQGTmjkVe7E6IgPr5MZiQ8LlanD9MaAQjuqJWlzD7ySxY2X6YYrnDwTGC5Ie2HS5YAUUBk6jLODgtbLB084g0GFgUYN6Lj7x5sjmBghVYFCDB12dS+pICVLDiRldTFICm/FFGoUm51Am6tpLBLlhxqbRFASYQj7s19AwEndFzClYcPH0CXhY+WH1juICClUghQy702thj5OtNFIJdRujVOXVfYQKxoIGiAFn32uoFTr5e8wRFAftFdtxbRj8TWfn6pvBbFzLoPWYKReBjf7/mrsHL18OiALlrmOB72QSU0Gt2UeuNhTkX5I2lAfXfve/9BYp6bd9FzG6LAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAuCAMAAAABUzsCAAAAAXNSR0IArs4c6QAAAI1QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZmY6ZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAtmY6tpBmttv/tv//25A625Bm27Zm27aQ29u22/+22////7Zm/9uQ/9u2//+2///bj+AjHwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACQElEQVRYR+2Y2VbCMBCGG0WpKNoCihWJYqFKl7z/45mtG01I0prYC3LBcjo5+TozmfkTz7uMkXrgewnA40jZMFaxePcOV9vxAmKy7G7cfHHQ333Jyvq7HVrph6JXfdp8Ca6/9M17Wcbt3WHCl813sSU+dJixfZvij7ThshZfZSV9c0t8KJoeEcT7tggBHhK+ykoeGEt8dMHMF6RaJ75CqwrYKR8kvqSjURErPuFTW3woWfmtuJYeaeefzMq2/0hmqeMrt7LNl5IAKvNPbmWbL/MDL39W7Q+5Vc1nqXd/4Or3EzYLC1+ylX9SK2aMNjiHweSlV1+4TBrqAQfaYgBiR1uYdP4B62pO7WoLx3zG2sItn7m2sMonbM7iDiCr7Vb5xFmnrS1OX68SKn/zQ0QnVSD/4r9OfM21hdv4mmsLt3zm2kLGhz4fjM+I8XynqsPG2kLCh6KnY2Ot/QxcaQiS7N7gmKx6lXPPURQ0H6O3c/cxKMG3STf0xsDVpUjaPWDLl4Zg7eUhmxHfNt0+xEXn3Tc9fZxv1rIZkBjHTNW6cWBZ4etuDsFEyke5U8Z3khiWHEjLFFmM3yeQP4noXFKvD3lGUGfaHpyPLkN8WSy2iq5e91QXCdg8/9OV935VX4SapA4rdMFX+k/dzVkkcSKUIXXJp9HNGRbE9w58OMk/nk0a3ZxS0aKXBuRnEdIvy4PHS6Ob0x1EbtIRpGBu6p/H+4eim5chZXKW8rnpH73LrCP3kR3Z0i+a+eRMv2DA4frvF+vyOpg1NIaiAAAAAElFTkSuQmCC)
Therefore, quotient = a – 1, remainder = a2 + a – 1
Question 7.Divide and write the quotient and the remainder.
(7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1)
Answer:![](data:image/png;base64,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)
Factorising the numerator we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
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![](data:image/png;base64,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)
Therefore, quotient
remainder ![](data:image/png;base64,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)
Divide and write the quotient and the remainder.
(y2 + 10y + 24) ÷ (y + 4)
Answer:
Therefore, quotient = y + 6 , remainder = 0.
Question 2.
Divide and write the quotient and the remainder.
(p2 + 7p - 5) ÷ (p + 3)
Answer:
Therefore, quotient = p + 4 , remainder = -17.
Question 3.
Divide and write the quotient and the remainder.
(3x + 2x2 + 4x3) ÷ (x - 4)
Answer:
Therefore, quotient = 4x2 + 18x + 75, remainder = 300.
Question 4.
Divide and write the quotient and the remainder.
(2m3 + m2 + m + 9) ÷ (2m - 1)
Answer:
Therefore, quotient = m2 + m + 1, remainder = 10.
Question 5.
Divide and write the quotient and the remainder.
(3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2)
Answer:
Rearranging the terms we get,
Therefore, quotient = x2 + x – 5, remainder = x – 2
Question 6.
Divide and write the quotient and the remainder.
(6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2)
Answer:
Rearranging the terms we get,
Therefore, quotient = a – 1, remainder = a2 + a – 1
Question 7.
Divide and write the quotient and the remainder.
(7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1)
Answer:
Factorising the numerator we get,
Therefore, quotientremainder