Chapter 8 - Polynomials and Factoring - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 516: 45

$4x^{2}$+12x+5 (2x+1)(2x+5)

You have $4x^{2}$+10x+2x+5.The standard form is the sum of the areas so $4x^{2}$+12x+5. Factor using the polynomial model where you add another row and column on each side to determine the side of each rectangle: $4x^{2}$=2x*2x 10x=5*2x 2x=2x*1 5=5*1 Using the area of the rectangle, the factor is (2x+1)(2x+5)