Answer:
option 4
Step-by-step explanation:
Given
f(x) = x² - 5x - 6
To find the zeros let f(x) = 0 , that is
x² - 5x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 6 and+ 1, since
- 6 × 1 = - 6 and - 6 + 1 = - 5 , then
(x - 6)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 6 = 0 ⇒ x = 6
