Chapter 8 - Polynomials and Factoring - 8-6 Factoring ax(squared) + bx + c - Practice and Problem-Solving Exercises - Page 509: 18

(4w+3)(w-2)

Given the polynomial $4w^{2}$ -5w - 6 *** We break of the middle term into two factors that add to give -5 and multiply to give -24. The two numbers are -8 and +3. $4w^{2}$ -8w +3w - 6 We take the GCD of the first two and the GCD of the last two terms. 4w(w-2) +3(w-2) We take (w-2) and factor it out which gives us. (4w+3)(w-2)