Question

Write a quadratic function f whose zeros are 3 and 12. f(x) = ?

Answer 1

Answer:

The above equation is a quadratic function whose zeroes are 3 and 12.

Step-by-step explanation:

The general quadratic equation is given by :

$ax^2+bx+c=0$

It is given that, the zeroes of a quadratic function are 3 and 12. It means they must be factors of it such that,

$(x-3)=0\\\\(x-12)=0$

So, we can write as :

$(x-3)(x-12)=0$

Multiplying both factors,

$(x-3)(x-12)=0\\\\x^2-12x-3x+36=0\\\\x^2-15x+36=0$

So, the above equation is a quadratic function whose zeroes are 3 and 12.