Question

Which of the following are the x-intercepts on the graph of the function shown below?


`f(x)=(x+2)(x-7)`

A, 7
B. -2
C. 2
D. -7

Answer 1

The x-intercepts would be 7 and -2.

Explanation:

Answer 2

Option A, 7 and Option B, -2

(7,0) and (-2,0)

Explanation:

Given in the question a function f(x) = (x+2)(x-7)

Step 1

Expand the function (x+2)(x-7)

x(x-7)+2(x-7)

x² - 7x + 2x - 14

x² - 5x - 14

Step 2

To find the x-intercepts we will substitute y with 0

y = x² - 5x - 14

0 = x² - 5x - 14

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

x = 7

x = -2