Write a quadratic function f whose zeros are 11 and 3.

Hello:

all quadratic function f whose zeros are 11 and 3 is:

f (x) = a (x-11) (x-3) ... a ≠ 0

for exemple : f (x) = 4 (x-11) (x-3)

Let the variable of the equation be x.

I'm gonna go backwards of the factorization process.

Given,

x = 11 or 3

(x - 11) (x - 3) = 0

x² - 3x - 11x + 33 = 0

x² - 14x + 33 = 0

Hence, f (x) = x² - 14x + 33.