Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 504: 43

x-12

The formula for the area of a parallelogram is: A = bh The area is $x^{2}$ - 14x + 24 and the base given is (x-2) so we substitute it into the formula of the area of a parallelogram. A = bh $x^{2}$ - 14x + 24 = (x-2) h The h is the the form of (x+p). p = -14 - (-2) p = -12 Therefore we substitute -12 for p into (x+p) Thus the height is (x-12)