# Is it possible to factor y=6x^2+7x-20 ? If so, what are the factors?

Dec 12, 2015

Yes, by the grouping method ...

#### Explanation:

Rewrite the middle term as ...

$y = 6 {x}^{2} + 15 x - 8 x - 20$

[Note: $15 \times - 8 = 6 \times - 20$]

Now, use grouping ...

$y = \left(6 {x}^{2} + 15 x\right) - \left(8 x + 20\right)$

$y = \left(3 x\right) \left(2 x + 5\right) - 4 \left(2 x + 5\right)$

$y = \left(3 x - 4\right) \left(2 x + 5\right)$

hope that helped