How do I use long division to simplify (2x^3-4x+7x^2+7)/(x^2+2x-1)2x3−4x+7x2+7x2+2x−1?

1 Answer
Alan P.
Nov 22, 2015

(2x+3)(2x+3) with remainder of (-8x+10)(−8x+10)

Explanation:

First arrange the dividend into order of descending powers of xx
color(white)("XXX")2x^3+7x^2-4x+7XXX2x3+7x2−4x+7

Long Polynomial Division:
{: (,,,,2x,+3,,), (,,,,"----","----","---","----"), (x^2,+2x,-1,")",2x^3,+7x^2,-4x,+7), (,,,,2x^3,+4x^2,-2x,), (,,,,"----","----","----","----"), (,,,,,3x^2,-2x,+7), (,,,,,3x^2,+6x,-3), (,,,,,"----","----","----"), (,,,,,,-8x,+10) :}

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