Question

What is a quadratic function (f) whose zeros are 2 and -11

Answer 1

f(x) = x² + 9x - 22

Explanation:

Given that x = 2 and x = - 11 are zeros, then

(x - 2) and (x + 11) are factors

and f(x) equals the product of the factors

f(x) = (x - 2)(x + 11) ← expand factors

f(x) = x² + 9x - 22 ← is a possible function