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AssignmentMultiple Choice

Factoring Polynomials: GCF

Question 1 • Common Core Algebra I B-IC

The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?

Answer
A
3(4x3– 1) – (9x2 + 4x)
B
4x(3x2 + 1) – 3(3x2 – 1)
C
3x(4x – 3) – (3+ 4x)
D
3x2(4x – 3) + 1(4x – 3)

Explanation

Factor by grouping: 12x³ − 9x² + 4x − 3 = (12x³ − 9x²) + (4x − 3). Factoring each group gives 3x²(4x − 3) + 1(4x − 3), which matches choice D. Both terms share the factor (4x − 3), so the expression can then be written as (4x − 3)(3x² + 1).

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