Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (2y + 17)(y + 1)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(2y)(y) + (2y)(1) + 17(y) + 17(1)$

Step2: Simplify each product

Calculate each term:
$2y^2 + 2y + 17y + 17$

Step3: Combine like terms

Add the middle terms ($2y$ and $17y$):
$2y^2 + (2y + 17y) + 17 = 2y^2 + 19y + 17$

Answer:

$2y^2 + 19y + 17$