5
QuizMultiple Choice

Factoring Trinomials: a = 1

Question 5 • Common Core Algebra I B-IC

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

Answer
A
(a+2)
B
(a+5)
C
(a−2)
D
(a−5)

Explanation

Factor the quadratic by finding two numbers whose product is 10 and whose sum is 7: 5 and 2. Thus a² + 7a + 10 = (a + 5)(a + 2). Since (a + 5) is already one factor, the other factor is (a + 2), choice A.

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