# Chapter 6 - Section 6.3 - Factoring Trinomials of the Form ax2+bx+c - Exercise Set - Page 435: 26

$(2x-9)(x+8)$

#### 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 $(2x+8)(x-9)$ $2x*x+2x*-9+8*x+8*-9$ $2x^2-18x+8x-72$ $2x^2-10x-72$ $(2x-9)(x+8)$ $2x*x+2x*8+x*-9+8*-9$ $2x^2+16x-9x-72$ $2x^2+7x-72$

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