Question

Consider the function f, where f(x) = x^2 + 2x - c and c is an integer.

Which value of c would result in a function that has integer value zeroes?


A. 2


B. 3


C. 4


D. 6

Answer 1

B

Explanation:

For the function f(x) = x^2 + 2x - c to have integer zeros it must factor. Substitute c for the values listed below and see which options factor.

A. 2

f(x) = x^2 + 2x - 2 does not factor

B. 3

f(x) = x^2 + 2x - 3 does factor into (x + 3)(x - 1) so the zeros would be x = -3, 1

C. 4

f(x) = x^2 + 2x - 4 does not factor

D. 6

f(x) = x^2 + 2x - 6 does not factor