Question

How do you divide `(4x+2x^3+7x^2-1)div(x+1)` using synthetic division?

Answer 1

The result is `2x^2+5x-1`

Explanation:

Let's do the long division
`color(white)(aa)` `2x^3+7x^2+4x-1` `color(white)(aa)` `∣` `x+1`
`color(white)(aa)` `2x^3+2x^2` `color(white)(aaaaaaaaaa)` `∣` `2x^2+5x-1`
`color(white)(aaaa)` `0+5x^2+4x`
`color(white)(aaaaaaaa)` `5x^2+5x`
`color(white)(aaaaaaaaaa)` `0-x-1`
`color(white)(aaaaaaaaaaaa)` `-x-1`
`color(white)(aaaaaaaaaaaa)` `-0-0`

`(2x^3+7x^2+4x-1)/(x+1)=2x^2+5x-1`