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)

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.

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