# How do you factor: y= 10x^3 + 20x^2 + x + 2 ?

Dec 21, 2015

$y = \left(10 {x}^{2} + 1\right) \left(x + 2\right)$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} y = 10 {x}^{3} + 20 {x}^{2} + 2 x + 2$

Comparing the first two terms with the last two terms on the right side
we see that they have a common factor of $\left(x + 2\right)$
$y = 10 {x}^{2} \left(x + 2\right) + 1 \left(x + 2\right)$

$y = \left(10 {x}^{2} + 1\right) \left(x + 2\right)$