Answer
$= (2x+3)(x-7)$
Work Step by Step
$2x^{2} -11x -21$
1. Find two numbers that can be multiplied together to obtain $(-21) \times 2 = -42$ and can be added to obtain $-11$.
Numbers $-14$ and $3$.
2. Rewrite the equation using these two numbers
$2x^{2} - 14x + 3x - 21$
$= 2x(x-7) + 3(x-7)$
$= (2x+3)(x-7)$