The roots of the function fx=x2-2x-3 are shown. What is the missing number?

The roots are x=3 x=-1

Step-by-step explanation:

fx=x^2-2x-3

To find the roots we set the equation to 0

0 = x^2 - 2x-3

Factor what two numbers multiply to - 3 and add to - 2

-3*1 = - 3

-3+1 = - 2

0 = (x-3) (x+1)

Using the zero product property

x-3 = 0 x+1 = 0

x=3 x=-1

The roots are x=3 x=-1

x = 3, - 1

Step-by-step explanation:

x² - 2x - 3

x² - 3x + x - 3

x (x - 3) + (x - 3)

(x - 3) (x + 1) = 0

x = 3, - 1