5
QuizMultiple Choice

Factoring with the Binomial Theorem

Question 5 • FL-1202340-Pre-Calculus Honors A

Which polynomial can be factored using the binomial theorem?

Answer
A
x2 + 20x + 400
B
x2 + 45x + 225
C
x3 – 18x2 + 108x – 36
D
x3 + 21x2 + 147x + 343

Explanation

The binomial theorem gives (x + a)³ = x³ + 3ax² + 3a²x + a³. With a = 7, this becomes x³ + 21x² + 147x + 343, which matches choice D: x³ + 21x² + 147x + 343.

AI-written and checked against the verified answer.

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