Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 503: 28

$(v+9)(v-4)$

Factor and then check your answer $v^{2}+5v-36$ Rewrite as: $v^{2}+9v-4v-36$ Take out (v+9) from the first two terms and last two terms $v(v+9)-4(v+9)$ Rewrite as: $(v+9)(v-4)$ Check answer: $(v+9)(v-4)$ Use foil $(v\times v)+(v\times-4)+(9\times v)+(9\times-4)$ Simplify: $v^{2}-4v+9v-36$ Simplify: $v^{2}+5v-36$