8
QuizMultiple Choice

Factoring with the Binomial Theorem

Question 8 • FL-1202340-Pre-Calculus Honors A

What is the factored form of the binomial expansion x3 + 9x2 + 27x + 27?

Answer
A
(x + 3)3
B
(x – 3)3
C
(x + 9)3
D
(x – 9)3

Explanation

Use the binomial cube formula: (x + a)³ = x³ + 3ax² + 3a²x + a³. With a = 3, this gives x³ + 9x² + 27x + 27, matching the expression. So the factored form is (x + 3)³, choice A.

AI-written and checked against the verified answer.

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