Question

How do you divide `(x^3+6x^2-4x+3)div(x+2)`?

Answer 1

The remainder is `=27` and the quotient is `x^2+4x-12`

Explanation:

We perform the synthetic division

`color(white)(aaaa)` `-2` `color(white)(aaaa)` `|` `color(white)(aaaa)` `1` `color(white)(aaaa)` `6` `color(white)(aaaaa)` `-4` `color(white)(aaa)` `3`

`color(white)(aaaaaa)` `color(white)(aaaaa)` `|` `color(white)(aaaaa)` `color(white)(aa)` `-2` `color(white)(aaaa)` `-8` `color(white)(aaaa)` `24`

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

`color(white)(aaaa)` `color(white)(aaaaaa)` `color(white)(aaaaaa)` `1` `color(white)(aaaa)` `4` `color(white)(aaaa)` `-12` `color(white)(aaaa)` `color(red)(27)`

The remainder is `=27`

The quotient is `=x^2+4x-12`