3
QuizMultiple Choice

Factoring Polynomials: GCF

Question 3 • Common Core Algebra I B-IC

Which statement is true about the factorization of 30x2 + 40xy + 51y2?

Answer
A
The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
B
The polynomial can be rewritten as the product of a trinomial and xy.
C
The greatest common factor of the polynomial is 51x2y2.
D
The greatest common factor of the terms is 1.

Explanation

The greatest common factor of the coefficients 30, 40, and 51 is 1. There is also no variable present in all three terms: the first has x², the middle has xy, and the last has y². So the greatest common factor of the terms is 1, making D, “The greatest common factor of the terms is 1,” true.

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