How do you divide (10x^4+5x^3+4x^2-9)div(x+1) using synthetic division?

1 Answer
Feb 24, 2017

The quotient is =10x^3-5x^2+9x-9 and the remainder =0

Explanation:

We perform a synthetic division

color(white)(aaaa)-1color(white)(aaaa)|color(white)(aaaa)10color(white)(aaaa)5color(white)(aaaaa)4color(white)(aaaaaa)0color(white)(aaaa)-9

color(white)(aaaaaa)color(white)(aaaaa)|color(white)(aaa)color(white)(aaaa)-10color(white)(aaaaa)5color(white)(aaaaa)-9color(white)(aaaaa)9

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

color(white)(aaaa)color(white)(aaaaaa)color(white)(aaaaaa)10color(white)(aaa)-5color(white)(aaaaa)9color(white)(aaaaa)-9color(white)(aaaaa)color(red)(0)

The remainder is =0

The quotient is =10x^3-5x^2+9x-9