19
QuizMultiple Choice

Polynomial Expressions — Test

Question 19 • Algebra I

Which terms could have a greatest common factor of 5 m squared n squared ? Choose two correct answers.

Answer
A
24 m cubed n to the 4th power
B
10 m to the 4th power n
C
m to the 5th power n to the 5th power
D
15 m squared n squared
E
5 m to the 4th power n cubed

Explanation

For the greatest common factor to be 5m²n², both terms must contain at least 5, m², and n², and their numerical coefficients must have a greatest common factor of exactly 5. A) 15m²n² and C) 5m⁴n³ meet these conditions: the coefficient GCF is 5, and the smallest exponents are m² and n². The other choices either lack enough powers of m or n, or have a coefficient that would make the numerical GCF different.

AI-written and checked against the verified answer.

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