Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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