Question

How do you divide `(-2x^3-2x^2+43x+32)/(x-5)`?

Answer 1

`(-2x^2 -12x - 17) -53/(x-5)`

Explanation:

Divide `x-5` into the first term, giving `-2x^2`. Multiply `x-5` `-2x^2` and subtract this from the original numerator. Repeat this process until there is an indivisible remainder.

Thus the answer is `(-2x^2 -12x - 17) -53/(x-5)`