How do you divide ( -x^3+ x^2+12x+36 )/(x - 5 )x3+x2+12x+36x5?

1 Answer
Feb 24, 2016

One method would be to apply synthetic division
color(white)("XXX")-x^2-4x-8 and (-4)/(x-5)XXXx24x8and4x5

Explanation:

{:(,,x^3,x^2,x^1,x^0),(,"|",-1,+1,+12,+36),(,"|",,-5,-20,-40),(bar(xx (+5)),bar("|"),bar(-1),bar(-4),bar(-8),bar(-4)),(,,x^2,x^1,x^0,"Remainder"):}