# Is it possible to factor y=2x^2+7x-15 ? If so, what are the factors?

Dec 30, 2015

Yes, it is possible to factor ...

#### Explanation:

Explode the middle term into two pieces ...

$y = 2 {x}^{2} + 10 x - 3 x - 15$

[Note that the middle terms $10 \times - 3 = 2 \times - 15$]

Now use grouping ...

$y = \left(2 {x}^{2} + 10 x\right) - \left(3 x + 15\right)$

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

Simplify ...

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

Hope that helped