10
AssignmentMultiple Choice

Factoring Polynomials: GCF

Question 10 • Common Core Algebra I B-IC

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

Answer
A
5y – 9 inches
B
5y4 – 9x3 inches
C
7y – 13 inches
D
7y4 – 13x3 inches

Explanation

A regular pentagon has 5 equal sides, so divide its perimeter by 5 to find one side: (35y⁴ − 65x³) ÷ 5 = 7y⁴ − 13x³ inches. This matches choice D, 7y⁴ − 13x³ inches.

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