# SYNTHETIC DIVISION

A cheat to long division

Can only be used when dividing by a

LINEAR FACTOR

Be careful to place 0’s for space savers.

** Synthetic Division – Step by Step
**Let’s use :

Step 1: Write down the factor – watch your

signs !

Step 2: Write down the coefficients on each

variable

They must be in order ( descending powers

on x)

You must include a 0 for any missing term

Step 3: Drop down the first coefficient

Step 4: Multiply the number you just brought

down by the factor (-1) and place it in the

spot underneath the -2

Step 5: Add those 2 numbers together and

place the sum under that column

Step 6: Repeat the previous 2 steps until you

reach the end of the row

Step 7: Write your answer. The numbers on

the bottom are (from left to right) the

coefficients on your quotient , which has

degree one less than your original

dividend, and the reminder.

**Using Both Forms**

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