How do you divide (3x^2+4x-x^4-2x^3-4)div(x+2) using synthetic division?

1 Answer
Feb 28, 2017

The remainder is =0
The quotient is =-x^3+3x-2

Explanation:

We perform a synthetic division

color(white)(aaaa)-2color(white)(aaaa)|color(white)(aaaa)-1color(white)(aaaa)-2color(white)(aaaaa)3color(white)(aaaaaa)4color(white)(aaaaaa)-4

color(white)(aaaaaa)color(white)(aaaaa)|color(white)(aaa)color(white)(aaaaaaaaa)2color(white)(aaaaa)0color(white)(aaaaa)-6color(white)(aaaaaa)4

color(white)(aaaaaaaaaa)------------------------------------------------------------

color(white)(aaaa)color(white)(aaaaaa)color(white)(aaaaaa)-1color(white)(aaaaaa)0color(white)(aaaaa)3color(white)(aaaaa)-2color(white)(aaaaaa)color(red)(0)

The remainder is =0

The quotient is =-x^3+3x-2