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

Dec 9, 2017

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

#### 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.