Question

How do you divide `( -3x^3+ x^2-3x-28 )/(x + 1 )`?

Answer 1

The quotient is `=-3x^2+4x-7` and the remainder is `=-21`

Explanation:

Let's perform the long division

`color(white)(aaaa)` `x+1` `|` `-3x^3+x^2-3x-28` `color(white)(aaaa)` `|` `-3x^2+4x-7`

`color(white)(aaaaaaaaaa)` `-3x^3-3x^2`

`color(white)(aaaaaaaaaaaaa)` `0+4x^2-3x`

`color(white)(aaaaaaaaaaaaaaa)` `+4x^2+4x`

`color(white)(aaaaaaaaaaaaaaaaa)` `+0-7x-28`

`color(white)(aaaaaaaaaaaaaaaaaaaaa)` `-7x-7`

`color(white)(aaaaaaaaaaaaaaaaaaaaaa)` `-0-21`

The quotient is `=-3x^2+4x-7` and the remainder is `=-21`