Question

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

Answer 1

x = - 1, x = 11

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