How do you find the quotient and remainder when (3x^3-2x^2+x+7) is divided by (x^2-2x+5)?

1 Answer
Nov 6, 2016

The remainder is =-6x-13
The quotient is =3x+4

Explanation:

Let's do the long division
color(white)(aaaa)3x^3-2x^2+x+7color(white)(aaa)x^2-2x+5
color(white)(aaaa)3x^3-6x^2+15xcolor(white)(aaaaa)3x+4
color(white)(aaaaaa)0+4x^2-14x+7
color(white)(aaaaaaaa)+4x^2-8x+20
color(white)(aaaaaaaaaa)+0-6x-13

The remainder is =-6x-13
The quotient is =3x+4