Explain why the polynomial 100x^2 + 150x + 49 is not a perfect square.

A. 150x ≠ 2 (7x ∙ 10)

B. 100x ≠ 2 (10x ∙ 7)

C. 150x ≠ 2 (10x ∙ 7)

D. 100x ≠ 2 (7x ∙ 10)

Answer: The correct answer is Choice C.

For this polynomial to be a perfect square, it would need to be:

(10x + 7) ^2

This will ensure that the first terms and the last terms will be 100x^ and 49. However, if you use foil to multiply the factors, you will not get 150x for the center term. Choice C also states that 150x will not be the middle term.