# How do you factor y= (5x+2)^2 + 11x(5x+2)+30? ?

Mar 26, 2018

$2 \left(40 {x}^{2} + 21 x + 17\right)$

#### Explanation:

$\left(5 x + 2\right) \left(5 x + 2 + 11 x\right) + 30$

$\left(5 x + 2\right) \left(16 x + 2\right) + 30$

$80 {x}^{2} + 42 x + 4 + 30$

$2 \left(40 {x}^{2} + 21 x + 17\right)$

We could try to find the factors of this trinomial using the quadratic formula, however note that the discriminant is negative, namely

${21}^{2} - 4 \cdot 40 \cdot 17 = - 2279$

So this is as far as this factors using real numbers.