Question

polynomial operations reteach (teacher manually grades)
find the product of the following (show your process: tiles, box, or double distribution)
$(x + 2)(2x + 3)$
product:

Explanation:

Step1: Set up box method grid

Label grid rows: $x, 2$; columns: $2x, 3$

Step2: Calculate grid cell products

Top-left: $x \times 2x = 2x^2$
Top-right: $x \times 3 = 3x$
Bottom-left: $2 \times 2x = 4x$
Bottom-right: $2 \times 3 = 6$

Step3: Combine like terms

$2x^2 + 3x + 4x + 6 = 2x^2 + 7x + 6$

Answer:

$2x^2 + 7x + 6$