Chapter 8 - Polynomials and Factoring - 8-6 Factoring ax2+bx+c - Practice and Problem-Solving Exercises - Page 522: 39

3(2k+1)(11k+4)

You are given $66k^{2}$+57k+12 .Factor it out: 3($22k^{2}$+19k+4) -factor out the common factor of 3- 3($22k^{2}$+8k+11k+4) -break out the middle value- 3($22k^{2}$+8k)(11k+4) -group the first two and last two terms- 3(2k(11k+4)+1(11k+4) -Find the GCF of each grouping's- 3(11k+4)(2k+1) -factor out the common term- =3(11k+4)(2k+1)