2
lesson pretestMultiple Choice

Pretest

Question 2 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which statement is true about the factorization of 30 x squared plus 40 x y plus 51 y squared ?

Answer
A
The polynomial can be rewritten after factoring as 10 times open paren 3 x squared plus 4 x y plus 5 y squared close paren .
B
The greatest common factor of the terms is 1 .
C
The greatest common factor of the polynomial is 51 x squared y squared .
D
The polynomial can be rewritten as the product of a trinomial and x y .

Explanation

The coefficients 30, 40, and 51 have a greatest common factor of 1: no integer greater than 1 divides all three. Also, the terms do not share a variable factor, since the first has no y and the last has no x. Therefore, the greatest common factor of the polynomial is 1, as stated in choice B.

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