Question

What is the result when x^3-8x^2+19x-14x 3 −8x 2 +19x−14 is divided by x-2x−2? If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) ​ .

Answer 1

The result when x^3-8x^2+19x-14 is divided by x^2-2x−2 is

`x-6 +(9x -26)/(x^(2) -2x-2)` .

Explanation:

Seems the divisor in the question is x^2-2x−2. If so, the solution to the division is shown using the long division method in the attachment below.

The result is

`(x^(3)-8x^(2) +19x -14)/(x^(2) -2x-2) = x-6 +(9x -26)/(x^(2) -2x-2)`