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

B

Step-by-step 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