Simplify the expression below. (2x^3-12x^2+10x-108) / x-6

We have the following expression:

(2x ^ 3-12x ^ 2 + 10x-108) / x-6

Dividing the expression between x-6 we have:

quotient: 2x ^ 2 + 10

remainder: - 48

We can check the result then rewriting the expression:

2x ^ 3-12x ^ 2 + 10x-108

= (2x ^ 2 + 10) * (x-6) - 48

= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48

= 2x ^ 3-12x ^ 2 + 10x-108

Division OK.

Answer:

The result of the division is:

quotient: 2x ^ 2 + 10

remainder: - 48