Let f (x) = x^2-10x-11 . what are the 2 x-intercepts of the quadratic function

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