Question

How do you use synthetic division to divide `(x^3-2x-22x+40)` divided by (x-4)?

Answer 1

The quotient is `x^2+4x-8+\frac{8}{x-4}`.

Explanation:

First, a quick overview of synthetic division:

In this problem, the number outside the L-shape will be `4`.

The coefficients inside will be `1`, `0`, `-24`, and `40`.

The remainder will always be the last number to the right, divided by the entire original divisor.