Question

Choose the correct x-intercepts for the following quadratic function. f(x)= x^2 + 5x – 14

A. x = 1, x = 3
B. X= 4, X = -3
C. x=2, x = -7
D. x = 2, x=-1

Answer 1

x= -7 x = 2

Explanation:

f(x)= x^2 + 5x – 14

To find the x intercepts, set the function equal to zero

0 = x^2 + 5x – 14

Factor

What two numbers multiply to -14 and add to 5

7*-2 = -14

7+-2 = 5

0= (x+7) (x-2)

Using the zero product property

x+7 =0 x-2 =0

x= -7 x = 2