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)

Question

Mathematics

Ishaan Peters

15 February, 22:24

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)

+2

Answers (1)

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Nora · Answer 1

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)

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)