Question

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

Answer 1

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.

Answer 2

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)