Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (9w - 1)(7w + 4)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (9w)(7w) + (9w)(4) + (-1)(7w) + (-1)(4) \)

Step2: Simplify each product

Calculate each term:
\( 63w^2 + 36w - 7w - 4 \)

Step3: Combine like terms

Combine the \( w \)-terms:
\( 63w^2 + (36w - 7w) - 4 = 63w^2 + 29w - 4 \)

Answer:

\( 63w^2 + 29w - 4 \)