# MAT - Paper 2019 - Q1F

## Flashcards

### 2021-11-02

When you’ve got a quadratic but the $x$ term is actually something like $\sin x$ or $\cos x$, how can you find out the number of solutions when it’s not clearly factorisable?

Approximately plot it between $-1 \le x \le 1$.

What must be true about a polynomial if you can plot it for $1$ and get a positive number and plot it for $2$ and get a negative number?

There is at least one root in between $1$ and $2$.