What are the zeroes of f(x) = x² − 2x − 3? x = −3, 1      x = −3, −1      x = 3, 1      x = 3, −1

The above-given equation is a quadratic equation.

Answer: x = 3, -1 are zeroes of f(x) = x² − 2x − 3

Substitute the x values in the given f(x)

Explanation:

For what values of x the f(x) function is zero.

f(x) = x² − 2x − 3

1) x = -3, 1

f(1) = (1)² - 2(1) - 3 = 1 - 2 - 3 = -4 which is not equal to zero.

f(-3) = (-3)² - 2(-3) - 3 = 9 + 6 - 3 = 12 which is not equal to zero.

2) x = -3, -1

If x = -3, then f(x) is not equal to zero.

3) x = 3, 1

If x = 1, then f(x) is not equal to zero.

4) x = 3, -1

If x = 3, (3)² - 2(3) - 3 = 9 - 6 - 3 = 0

If x = -1, (-1)² - 2(-1) - 3 = 1 + 2 - 3 = 0

Therefore, x = 3, -1 are the zeroes of f(x) = x² − 2x − 3.