# How do you factor 12x² -9x+15?

##### 1 Answer
Jun 8, 2015

$12 {x}^{2} - 9 x + 15 = 3 \left(4 {x}^{2} - 3 x + 5\right)$

Calculate the delta of this trinomial:
${\Delta}_{x} = {3}^{2} - 4 \cdot 4 \cdot 5 = 9 - 80 < 0$
So you can't factor this trinomial in the set of Real numbers.