# How do you use synthetic division to divide #(x^2 + 13x + 40) ÷ (x + 8)#?

##### 1 Answer

(see below for synthetic division method for this example)

#### Explanation:

The top row are the coefficients of the dividend expression

The value on the left one row down is the negative of the constant in the divisor (i.e. the value of

The value on the very bottom (which will become our result row) left is always

Add the two numbers in the completed column above the line to get a sum on the bottom row (in this case

Multiply

Add the two numbers in the completed column above the line to get a sum on the bottom row (in this case

Multiply

Addition of the final column gives the remainder (you might want to write it on a separate line.

Here is the final result with labels on entries for clarity.