

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.
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.
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.