# How do you factor 3x^2 - 2x -21?

$\left(3 x + 7\right) \left(x - 3\right)$
$3 {x}^{2} + 7 x - 9 x - 21$ find two integers that ADD to -2, MULTIPLY to -63 ($3 \cdot - 21$)
$3 x \left(x - 3\right) + 7 \left(x - 3\right)$ factor out common factor
$\left(3 x + 7\right) \left(x - 3\right)$