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

Answer: Choice C) {2, - 7}