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

1 Answer
Nov 22, 2015

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

Explanation:

First arrange the dividend into order of descending powers of #x#
#color(white)("XXX")2x^3+7x^2-4x+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) :}#