# Is it possible to factor y=9x^2 - 17x - 85? If so, what are the factors?

Jun 11, 2017

To check if it is possible to factorize a square trinomial you have to calculate the determinant:

## $\Delta = {b}^{2} - 4 a c$

Here we have:

$\Delta = {17}^{2} - 4 \cdot 9 \cdot 85 = 289 - 3060 = = - 2771$

The discriminant is negative, so the trinomial has no roots (i.e. it cannot be factorized)