Chapter 8 - Polynomials and Factoring - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 516: 36

(g-7h)(g-5h)

You are given $g^{2}$-12gh+35$h^{2}$. Factor it out: $g^{2}$-7gh-5gh+35$h^{2}$ -break out the middle value- ($g^{2}$-7gh)+(-5gh+35$h^{2}$) -group the first two and last two terms- g(g-7h)-5h(g-7h) -Find the GCF of each grouping- (g-5h)(g-7h) -factor out the common term- =(g-5h)(g-7h)