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

1 Answer
May 8, 2017

The remainder is =12 and the quotient is =3x^3-5x^2+10x-14

Explanation:

Let's perform the synthetic division

Let f(x)=3x^4-2x^3+5x^2-4x-2

Let's perform the synthetic division

color(white)(aaaa)-1color(white)(aaaaa)|color(white)(aaaa)3color(white)(aaaaaa)-2color(white)(aaaaaa)5color(white)(aaaaa)-4color(white)(aaaaa)-2
color(white)(aaaaaaaaaaaa)_________

color(white)(aaaa)color(white)(aaaaaaa)|color(white)(aaaa)color(white)(aaaaaaa)-3color(white)(aaaaaaa)5color(white)(aaaaa)-10color(white)(aaaa)14
color(white)(aaaaaaaaaaaa)________

color(white)(aaaa)color(white)(aaaaaaa)|color(white)(aaaa)3color(white)(aaaaaa)-5color(white)(aaaaaaa)10color(white)(aaaa)-14color(white)(aaaaa)color(red)(12)

f(x)=(3x^3-5x^2+10x-14)+12/(x+1)

The remainder is =-2