Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 504: 46

6$x^{2}$ + 13x + 6 = (3x+2)(2x+3)

(3x+2)(2x+3) Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets). (3x)(2x) + (3x)(3) + 2(2x) + 2(3) 6$x^{2}$ + 9x + 4x + 6 6$x^{2}$ + 13x + 6