Question

How do you divide `(-7x^3+5x^2+2x+5)/(x-4)`?

Answer 1

Make the denominator appear in the numerator.

Explanation:

`-7x^3 + 5 x^2 - 2x + 5 = (x-4)(-7x^2 - 33x - 130) - 520 + 5`
So the division by `x-4` yields
`-7x^2 - 33x - 130 - 515/(x-4)`