Question

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

The polynomial can be rewritten after factoring as 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 greatest common factor of the terms is 1.

Answer 1

"The greatest common factor of the terms is 1." is true.

Reason: gcd(30, 40, 51) = 1, and there is no variable (x or y) present in every term, so the only common factor is 1.