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

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

we have

Find the greatest common factor of the polynomial

Find the factors

so

The greatest common factor of the polynomial is equal to

Statements

case a) The factorization of the polynomial is

The statement is False-----> is not a common factor of the three terms

case b) The polynomial can be rewritten as the product of a trinomial and xy

The statement is False------> the original polynomial is already a trinomial

case c) The greatest common factor of the polynomial is

The statement is False------> the polynomial do not contain

case d) The polynomial is prime, and the greatest common factor of the terms is

The statement is True

Therefore

the answer is

case d) The polynomial is prime, and the greatest common factor of the terms is