8
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Factoring Polynomials Completely

Question 8 • Adv. Algebra II S1 Original

x2 + 5x − 14 = ×

Answer
A
(x – 8)
B
(x + 7)
C
(x – 6)
D
(x + 5)

Explanation

To factor x² + 5x − 14, find two numbers whose product is −14 and whose sum is 5. Those numbers are 7 and −2, so x² + 5x − 14 = (x + 7)(x − 2). Therefore, one factor is (x + 7), choice B.

AI-written and checked against the verified answer.

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