# Is it possible to factor y= x^2 - 9x +14 ? If so, what are the factors?

Mar 14, 2018

The factored form is $\left(x - 7\right) \left(x - 2\right)$.

#### Explanation:

We need to find two numbers that multiply to $14$ and add up to $- 9$.

After playing around with the factor pairs of $14$, you will find that these two numbers are $- 7$ and $- 2$. Now, we can rewrite the polynomial:

$\textcolor{w h i t e}{=} {x}^{2} - 9 x + 14$

$= \left(x - 7\right) \left(x - 2\right)$

This is the factored form. Hope this is the answer you were looking for!