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

The factorization of the polynomial is 10 (3x2 + 4xy + 5y2).

The polynomial can be rewritten as the product of a trinomial and xy.

The greatest common factor of the polynomial is 51x2y2.

The polynomial is prime, and the greatest common factor of the terms is 1.

Question

Fletcher Griffith

Mathematics

12 December, 00:44

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

The factorization of the polynomial is 10 (3x2 + 4xy + 5y2).

The polynomial can be rewritten as the product of a trinomial and xy.

The greatest common factor of the polynomial is 51x2y2.

The polynomial is prime, and the greatest common factor of the terms is 1.

+1

Answers (1)

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Twinkly · Answer 1

This polynomial is prime, and the greatest common factor of the terms is 1.

The first choice does not work, as the coefficients are 30, 40, 51, so 10 is not the GCF. The second choice does not work either, as the discriminant of the polynomial is less than zero, so it does not have any real roots (much less any integer roots). The third choice is also false, as 51 is not a factor of the first two terms.