6
AssignmentMultiple Choice

Factoring Polynomials: GCF

Question 6 • Common Core Algebra I B-IC

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.Which product is the factored form of the polynomial?

Answer
A
(–x2 – 5)(3x2 + 2)
B
(x2 – 2)(3x2 + 5)
C
(x2 + 5)(3x2 – 2)
D
(3x2 – 5)(x2 + 2)

Explanation

Group the terms as (3x⁴ − 2x²) + (15x² − 10). Factor each group: x²(3x² − 2) + 5(3x² − 2). The common factor is 3x² − 2, giving (x² + 5)(3x² − 2), which is choice C.

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