Question

complete the rectangle to illustrate this product. (x + 4)(x + 2)

Explanation:

Step1: Multiply terms

We use the FOIL method (First - Outer - Inner - Last). First terms: $x\times x=x^{2}$, Outer terms: $x\times2 = 2x$, Inner terms: $4\times x=4x$, Last terms: $4\times2 = 8$.

Step2: Fill in the rectangle

The top - right box is the product of 4 and 2, so it's 8. The bottom - right box is the product of 4 and x, so it's 4x. The top - left box is 2x (already given) and the bottom - left is $x^{2}$ (already given).

Answer:

The top - right box: 8, The bottom - right box: 4x