6
AssignmentMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes

Question 6 • Common Core Algebra I B-IC

Factor the polynomial completely.12x4 – 42x3 – 90x2 What is the GCF of the polynomial?

Answer
A
3
B
3x
C
6x
D
6x2

Explanation

The greatest common factor of 12, 42, and 90 is 6. Each term also contains at least x², since the smallest exponent of x in 12x⁴, −42x³, and −90x² is 2. Therefore, the GCF is 6x², choice D.

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