Chapter 8 - Polynomials and Factoring - 8-6 Factoring ax(squared) + bx + c - Practice and Problem-Solving Exercises - Page 510: 43

(5n-2)(11n-6)

Given the polynomial $55n^{2}$ - 52n + 12 *** We break of the middle term into two factors that add to give -52 and multiply to give +660. The two numbers are -22 and -30. $55n^{2}$ - 22n - 30n + 12 We take the GCD of the first two and the GCD of the last two terms. 11n(5n-2) -6(5n-2) We take (5n-2) and factor it out which gives us. (5n-2)(11n-6)