Question

What are the zeroes of f(x) = x2 − 2x − 3?

x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1

Answer 1

x = 3, −1

Explanation:

Just took the test and got it right

Answer 2

Option 4th is correct

x = 3, -1

Explanation:

Given the equation:

`f(x) = x^2-2x-3`

To find the zeroes of f(x).

Set f(x) = 0

then;

`x^2-2x-3 = 0`

Factorize this equations:

Split the middle terms we have;

`x^2-3x+x-3 = 0`

⇒
`x(x-3)+1(x-3)= 0`

⇒
`(x-3)(x+1)= 0`

By zero product property we have;

x-3 = 0 and x+1 = 0

⇒x = 3 and x = -1

Therefore, the zeroes of the function f(x) are :

x = 3 and x = -1