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

Zeros are the roots of a quadratic equation.

Answer: The zeros of the function f (x) = x² − x − 2 are x = 2 and x = - 1.

Let's find the zeros of the polynomial.

Explanation:

To find the zeros of the quadratic equation, we will put the value of the function equal to zero.

⇒ x² − x − 2 = 0

We will factorize the quadratic equation by splitting the middle term.

⇒ x² - 2x + x - 2 = 0

⇒ x (x - 2) + 1 (x - 2) = 0

⇒ (x - 2) (x + 1) = 0

Put both the values equal to zero.

⇒ (x - 2) = 0 and (x + 1) = 0

⇒ x = 2 and x = - 1

Hence, we have two values of x that make the value of the polynomial equal to zero.

You can try Cuemath's Quadratic Equation Calculator to find the zeros of a quadratic polynomial.

Thus, the zeros of the function f (x) = x² − x − 2 are x = 2 and x = - 1.