# How do you factor the expression 30x^2 + 35x + 10?

$5 \left(3 x + 2\right) \left(2 x + 1\right)$
$5 \left(6 {x}^{2} + 7 x + 2\right)$ factor out GCF, 5
$5 \left(6 {x}^{2} + 3 x + 4 x + 2\right)$ find two integers that ADD to 7, MULTIPLY to 12 $\left(6 \cdot 2\right)$.
$5 \left[3 x \left(2 x + 1\right) + 2 \left(2 x + 1\right)\right]$ group together the first two and last two and factor out common factor
$5 \left(3 x + 2\right) \left(2 x + 1\right)$