# Edexcel A Level - Algebraic Expressions

## Simplifying Algebraic Expressions

##### Visualise Factor Theorem 1
The factor theorem states that:
If $\color{blue}{ f(x) }$ is a polynomial and $\color{blue}{ f(a) = 0 }$, then $\color{blue}{ (x - a) }$ is a factor of $\color{blue}{ f(x) }$.

This display helps show how this comes about.

You can drag the red point to help read coordinates.
##### Visualise Factor Theorem 2
The factor theorem also states that:
If $\color{blue}{ f(x) }$ is a polynomial and $\color{blue}{ f( {b \over a} ) = 0 }$, then $\color{blue}{ (ax - b) }$ is a factor of $\color{blue}{ f(x) }$.

This display helps show how this comes about.

You can drag the red point to help read coordinates.