Answers FL-1202340-Pre-Calculus Honors A Factoring with the Binomial TheoremQuestion 9

9

QuizMultiple Choice

Factoring with the Binomial Theorem

Question 9 • FL-1202340-Pre-Calculus Honors A

Which polynomial is paired to its factored form?

Answer

A

36x2 + 18x + 9 and (6x + 3)2

B

49x2 + 56x − 16 and (7x − 4)2

C

729x3 − 405x2 + 225x − 125 and (9x − 5)3

D

64x3 + 384x2 + 768x + 512 and (4x + 8)3

Explanation

Expand the cube using (a + b)³ = a³ + 3a²b + 3ab² + b³. For (4x + 8)³, this gives 64x³ + 384x² + 768x + 512, which matches the polynomial in choice D.

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