Chapter 6 - Section 6.3 - Factoring Trinomials of the Form ax2+bx+c - Exercise Set - Page 437: 96

5, -5, 13, -13

$2z^2+bz-7$ Factors of 2: 1 and 2, -1 and -2 Factors of -7: 1 and -7, 7 and -1 $(z+1)(2z-7)$ $z*2z+z*-7+1*2z+1*-7$ $2z^2-7z+2z-7$ $2z^2-5z-7$ $(-z+1)(-2z-7)$ $-z*-2z+(-z)*(-7)+1*-2z+1*-7$ $2z^2+7z-2z-7$ $2z^2+5z-7$ $(z+7)(2z-1)$ $z*2z+z*-1+7*2z+7*-1$ $2z^2-z+14z-7$ $2z^2+13z-7$ $(-z+7)(-2z-1)$ $-z*-2z+(-z)*-1+7*-2z+7*-1$ $2z^2+z-14z-7$ $2z^2-13z-7$