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AssignmentMultiple Choice

Factoring Trinomials: a = 1

Question 1 • Common Core Algebra I B-IC

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?

Answer
A
(x + 3)
B
(x + 7)
C
(x + 12)
D
(x + 13)

Explanation

To factor x² + 8x + 15, find two numbers whose product is 15 and whose sum is 8. Those numbers are 5 and 3, so x² + 8x + 15 = (x + 5)(x + 3). Since (x + 5) is already given as one factor, the other factor is (x + 3), choice A.

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