Choose the correct zeros for the following quadratic function.

f(x) = x^2 + 5x - 14

a. {1, 3}
b. {4, –3}
c. {2, –7}
d. {2, –1}

Replace f(x) with 0. Then solve for x

f(x) = x^2 + 5x - 14
0 = x^2 + 5x - 14
x^2 + 5x - 14 = 0
(x+7)(x-2) = 0 ... factor (think of two numbers that multiply to -14 and add to 5)
x+7 = 0 or x-2 = 0
x = -7 or x = 2

The two zeros, roots, or x intercepts are x = -7 or x = 2

Choice C) {2, -7}