# How do you factor 8x^2+8x+2?

Mar 13, 2018

$\left(4 x + 2\right) \left(2 x + 1\right)$

#### Explanation:

$8 {x}^{2} + 8 x + 2$

Find the product of the coefficient of ${x}^{2}$ and the constant, or $\left(a \cdot c\right)$,.then find two factors such that when you multiply them they will give you $16$ and when you add them they will give you $8$.

$8 {x}^{2} + 4 x + 4 x + 2$

Factorise

$4 x \left(2 x + 1\right) + 2 \left(2 x + 1\right)$

$\left(4 x + 2\right) \left(2 x + 1\right)$