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

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