# MAT - Paper 2019 - Q1F

> Source: https://ollybritton.com/notes/maths/problems/mat/2019/q1f/ · Updated: 2021-11-02 · Tags: mat, notes, maths

## 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 $2$.

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