4
QuizMultiple Choice

Factoring Trinomials: a = 1 (Continued)

Question 4 • Common Core Algebra I B-IC

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

Answer
A
x2 + 3x – 9x – 27 = (x + 3)(x – 9)
B
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
C
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
D
x2 + 3x – 6x – 27 = (x + 3)(x – 6)

Explanation

To factor x² + 6x − 27 by splitting the middle term, find two numbers whose product is −27 and whose sum is 6. Those numbers are 9 and −3, so the four-term polynomial is x² + 9x − 3x − 27. Grouping gives x(x + 9) − 3(x + 9) = (x + 9)(x − 3), which is choice C.

AI-written and checked against the verified answer.

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