Answer
$(2x-9)(x+8)$
Work Step by Step
$2x^2+7x-72$
Factors of -72: 1 and -72, 2 and -36, 3 and -24, 4 and -18, 6 and -12, 8 and -9, -1 and 72, -2 and 36, -3 and 24, -4 and 18, -6 and 12, -8 and 9
$(2x+8)(x-9)$
$2x*x+2x*-9+8*x+8*-9$
$2x^2-18x+8x-72$
$2x^2-10x-72$
$(2x-9)(x+8)$
$2x*x+2x*8+x*-9+8*-9$
$2x^2+16x-9x-72$
$2x^2+7x-72$