36
QuizMultiple Choice

N/A — Exam

Question 36 • Mathematics II

Which term can be added to the list so that the greatest common factor of the three terms is 12 h cubed ? 36 h cubed , 12 6th power of h , __________

Answer
A
12 h raised to the 2 power
B
6 h cubed
C
48 5th power of h
D
30 4th power of h

Explanation

The greatest common factor of the coefficients 36 and 12 is 12, and the smaller exponent of h in the first two terms is 3. For choice C, the coefficient 48 keeps the coefficient GCF at 12, and h⁵ does not lower the smallest exponent below 3. So the GCF is 12h³.

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