# How do you write a polynomial of least degree with roots 0 and -9?

##### 1 Answer
Nov 17, 2016

${x}^{2} + 9 x$

#### Explanation:

If a polynomial has roots $\textcolor{red}{0}$ and $\textcolor{b l u e}{- 9}$
then it has factors:
$\textcolor{w h i t e}{\text{XXX}} \left(x - \textcolor{red}{0}\right) = x$ and $\left(x - \left(\textcolor{b l u e}{- 9}\right)\right) = \left(x + 9\right)$

$x \times \left(x + 9\right) = \textcolor{g r e e n}{{x}^{2} + 9 x}$