# A polynomial function has zeros -3 and 4. What are the factors?

Dec 17, 2016

Factors of the function are $\left(x + 3\right)$ and $\left(x - 4\right)$

#### Explanation:

When a polynomial function has zeros $\alpha , \beta$ and $\gamma$, the factors of function are

$\left(x - \alpha\right)$, $\left(x - \beta\right)$ and $\left(x - \gamma\right)$

As we have zeros $- 3$ and $4$, factors of the function are

$\left(x - \left(- 3\right)\right)$ and $\left(x - 4\right)$ i.e. $\left(x + 3\right)$ and $\left(x - 4\right)$

and function is $\left(x + 3\right) \left(x - 4\right) = {x}^{2} + 3 x - 4 x - 12$

= ${x}^{2} - x - 12$