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

Question

Mathematics

Tiffany

11 November, 01:23

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

+4

Answers (1)

Know the Answer?

Joshua Sheppard · Answer 1

x = - 7 x = 2

Step-by-step 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

Choose the correct x-intercepts for the following quadratic function. f (x) = x^2 + 5x - 14A. x = 1, x = 3B. X = 4, X = - 3C. x=2, x = - 7D. x = 2, x=-1

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