What are the zeros of f (x) x^2-x-20

x = - 4 and x = 5

x = - 4, x = 5

Step-by-step explanation:

To find the zeros equate f (x) to zero, that is

x² - x - 20 = 0

Consider the factors of the constant term ( - 20) which sum to give the coefficient of the x - term ( - 1)

The factors are - 5 and + 4, since

- 5 * 4 = - 20 and - 5 + 4 = - 1, thus

(x - 5) (x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 5 = 0 ⇒ x = 5