Consider the algebraic expression: x+2-5+ 3x
Use the algebra tiles interactive to collect like terms.
How many x tiles represent the simplified expressions

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

2x^2+5x+17

your welcome. : )

answer: (x+2) (x+3) are the binomials for your question : )