# Maths - Factor Theorem

> Source: https://ollybritton.com/notes/a-level/maths/topics/factor-theorem/ · Updated: 2021-03-24 · Tags: maths

## Flashcards
### 2021-03-24
##### If $f(x)$ is a polynomial and $f(p) = 0$, what must be true??
$(x - p)$ is a factor of $f(x)$.

##### If $f(x)$ is a polynomial and $(x-p)$ is a factor of $f(x), what must bbe true??
$$
f(p) = 0
$$

### 2021-03-26
##### If $f(x)$ is a polynomial and $f\left(\frac{b}{a}\right) = r$, what must be true??
Dividing $f(x)$ by $(ax - b)$ has remaineder $r$.

##### If $f(x)$ is a polynomial and dividing by $(ax - b)$ has remainder $r$, what must be true??
$$
f\left(\frac{b}{a}\right) = r
$$

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