Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (x + 3)(2x + 3)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (x + 3)(2x + 3) = x(2x) + x(3) + 3(2x) + 3(3) \)

Step2: Simplify each product

Calculate each term:
\( x(2x) = 2x^2 \), \( x(3) = 3x \), \( 3(2x) = 6x \), \( 3(3) = 9 \)

Step3: Combine like terms

Add the \( x \)-terms: \( 3x + 6x = 9x \)
So, \( 2x^2 + 9x + 9 \)

Answer:

\( 2x^2 + 9x + 9 \)