Answer:
x = - 1, x = 11
Step-by-step explanation:
to find the x- intercepts set f(x) = 0, that is
x² - 10x - 11 = 0
to factor, consider the factors of the constant term which sum to give the coefficient of the x- term
These are - 11 and + 1
(x - 11)(x + 1) = 0 ← in factored form
equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x + 1 = 0 ⇒ x = - 1
