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)

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asked Nov 25, 2019 142k views

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Harshal Bhavsar · Answer 1 · 2019-11-30T23:37:59+0000

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.

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)

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