Question

How do you divide `2x^3+9x^2+5` by `x^2-4x-3`?

Answer 1

The quotient is `=2x+17`
And the remainder is `=74x+56`

Explanation:

Let's do a long division

`color(white)(aaa)` `2x^3+9x^2` `color(white)(aaaaaaaaaa)` `5` `∣` `x^2-4x-3`
`color(white)(aaa)` `2x^3-8x^2-6x` `color(white)(aaaaaaa)` #∣2x+17#
`color(white)(aaaaa)` `0+17x^2+6x+5`
`color(white)(aaaaaaaa)` `17x^2-68x-51`
`color(white)(aaaaaaaaaaa)` `0+74x+56`