Respuesta :
The statement that is true about the trinomial is the greatest common factor of the terms is 1.
What is a trinomial?
A trinomial is a polynomial with three terms or monomials.
To know which statements about the polynomial are true, let's check each of the statements individual.
A.) The polynomial can be rewritten after factoring as [tex]10(3x^2+4xy+5y^2)[/tex]
Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.
B.) The polynomial can be rewritten as the product of a trinomial and xy.
All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.
C.) The greatest common factor of the polynomial is 51x2y2.
All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.
D.) The greatest common factor of the terms is 1.
As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.
Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.
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