AnswersFL-1202340-Pre-Calculus Honors AFactoring with the Binomial TheoremQuestion 1
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Factoring with the Binomial Theorem

Question 1 • FL-1202340-Pre-Calculus Honors A

What is the factored form of the binomial expansion 256x2 – 608x + 361?

Answer
A
(16x + 19)2
B
(16x – 19)2
C
(4x + 19)2
D
(4x – 19)2

Explanation

A perfect-square trinomial has the form a² − 2ab + b². Here, 256x² = (16x)² and 361 = 19²; the middle term is −2(16x)(19) = −608x. Therefore the factored form is (16x − 19)², choice B.

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