Question

use the area model to find the product $x(2x^2 + 5x + 2)$. first, find the partial products. $2x^2$ $5x$ $2$ $x$ now, write the product. $x(2x^2 + 5x + 2) = \square$

Explanation:

Step1: Find partial products

Multiply \( x \) with each term inside the parentheses.

• For \( 2x^2 \): \( x \times 2x^2 = 2x^3 \)
• For \( 5x \): \( x \times 5x = 5x^2 \)
• For \( 2 \): \( x \times 2 = 2x \)

Step2: Combine partial products

Add the partial products together: \( 2x^3 + 5x^2 + 2x \)

Answer:

\( 2x^3 + 5x^2 + 2x \)