# Maths - Quartics

> Source: https://ollybritton.com/notes/a-level/maths/topics/quartics/ · Updated: 2020-10-11 · Tags: maths, year-1, school

##### What is a quartic??
A 4-th degree polynomial.

##### What's the largest number of (real) solutions a quartic can have??
$4$.

##### What's the smallest number of (real) solutions a quartic can have??
$0$.

##### I want to make a quartic with only two roots, $3$ and $4$. How could I do this??
$$
(x-3)(x-3)(x-4)(x-4)
$$

##### Visualise the quartic $x^2(x-3)(x+3)$??
PHOTO

##### When sketching a quatic, what's the process??
* Add the roots to an axis
* Add the y-intercept

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