22
RCMultiple Choice

Polynomial Division — Cumulative exam

Question 22 • FL-1200710-Mathematics for College Algebra A

What is the factorization of g3 – 125?

Answer
A
(g– 5)(g2 + 5g + 10)
B
(g – 25)(g2 + 25g + 625)
C
(g – 5)(g2 + 5g + 25)
D
(g – 25)(g2 + 5g + 125)

Explanation

Recognize g³ − 125 as a difference of cubes: 125 = 5³. Apply a³ − b³ = (a − b)(a² + ab + b²), giving (g − 5)(g² + 5g + 25). Therefore, choice C is correct.

AI-written and checked against the verified answer.

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