The binomial (x+5) is a factor of x^2+7x+10 What is the other factor?
Answer
A
open paren x minus 5 close paren
B
open paren x minus 2 close paren
C
open paren x plus 5 close paren
D
open paren x plus 2 close paren
Explanation
Factor the quadratic: x² + 7x + 10 = (x + 5)(x + 2), since 5 × 2 = 10 and 5 + 2 = 7. Because (x + 5) is already one factor, the other factor is (x + 2), choice C.
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