You may recall that a rectangle diagram can represent the product of two binomials. For example, the

Question:

You may recall that a rectangle diagram can represent the product of two binomials. For example, the rectangle at right represents the product (x + 2) (x - 3), which you can write as the trinomial x2 + 5x + 6.

a. Draw a rectangle diagram that represents the product (2x + 3) (3x + 1).
b. Express the area in 12a as a polynomial in general form.
c. Draw a rectangle whose area represents the polynomial x2 + 8x + 15. (You need to break 8x into two terms.)
d. Express the area in 12c as a product of two binomials.