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QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 1 • Common Core Algebra I B-IC

What is the completely factored form of the expression 16x2 + 8x + 32?

Answer
A
4(4x2 + 2x + 8)
B
4(12x2 + 4x + 28)
C
8(2x2 + x + 4)
D
8x(8x2 + x + 24)

Explanation

The greatest common factor of 16x², 8x, and 32 is 8. Factoring it out gives 8(2x² + x + 4), which is choice C. The trinomial inside does not factor further over the integers because its discriminant is 1 − 4(2)(4) = −31, which is negative.

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