# How do you write y= -7x^2+14 in factored form?

Sep 20, 2015

$y = - 7 \left(x + \sqrt{2}\right) \left(x - \sqrt{2}\right)$

#### Explanation:

First, you can factor out -7.
$y = - 7 {x}^{2} + 14$
$y = - 7 \left({x}^{2} - 2\right)$

You will notice that $\left({x}^{2} - 2\right)$ is a special product (difference of two squares).
$y = - 7 \left({x}^{2} - 2\right)$
$y = - 7 \left(x + \sqrt{2}\right) \left(x - \sqrt{2}\right)$

After that, you won't be able to factor it any further. :)