## Algebra 1: Common Core (15th Edition)

$4x^{2}$+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)