Question

which expression has a greatest common factor of 3h?

a. 12h + 21h²

b. 3 - 9h

c. 18h² - 6

d. 6h² - 2h

Explanation:

Step1: Factor Option A

\(12h + 21h^2 = 3h(4 + 7h)\)

Step2: Factor Option B

\(3 - 9h = 3(1 - 3h)\)

Step3: Factor Option C

\(18h^2 - 6 = 6(3h^2 - 1)\)

Step4: Factor Option D

\(6h^2 - 2h = 2h(3h - 1)\)

Step5: Identify GCF=3h

Only Option A factors to \(3h(\dots)\) with no larger common factor.

Answer:

A. \(12h + 21h^2\)