Answer
$4x^{2}$+12x+5
(2x+1)(2x+5)
Work Step by Step
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)