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.

Option (d) is correct.

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

Step-by-step explanation:

Given : Expression

We have to choose the correct option from the given options that correctly describe the correct statement about the factorization of  

Consider the given expression

Greatest common factor is the highest factor that divide the each term of the polynomial.

For the given polynomial

There is no term which is common in each three terms.

Hence, The greatest common factor of the polynomial is 1.

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

the answer is d

step-by-step explanation: