# How do you divide #(x^4 - x^3 - 38x^2 - 31x + 45) -: (x+5)#, using synthetic division?

##### 1 Answer

#### Explanation:

Given: Use synthetic division to divide:

In synthetic division the divisor must be a linear factor:

The value used to divide is

In synthetic division a coefficient is required for every term. This means if there is a missing term such as

First list the

Multiply the sum in the first column by the

Multiply the sum in the 2nd column by the

Continue this process:

#The 3rd row represents the coefficients of the quotient. They will always be one less degree than the original equation. The last number is the remainder: