Factor Theorem (AQA AS Maths): Revision Note
Did this video help you?
Factor Theorem
What is the factor theorem?
The factor theorem is a very useful result about polynomials
A polynomial is an algebraic expression consisting of a finite number of terms, with non-negative integer indices only
At A level you will most frequently use the factor theorem as a way to simplify the process of factorising polynomials
What do I need to know about the factor theorem?
For a polynomial f(x) the factor theorem states that:
If f(p) = 0, then (x - p) is a factor of f(x)
AND
If (x - p) is a factor of f(x), then f(p) = 0
Examiner Tips and Tricks
In an exam, the values of p you need to find that make f(p) = 0 are going to be integers close to zero.
Try p = 1 and -1 first, then 2 and -2, then 3 and -3
It is very unlikely that you'll have to go beyond that.
Worked Example
You've read 0 of your 5 free revision notes this week
Sign up now. It’s free!
Did this page help you?