Question

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

Answer 1

Answer:

Option A, 7 and Option B, -2

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

Step-by-step 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