Question

What are all the zeros of the function f(x)=x²−6x+9?

A) x=−3
B) x=−3 and x=3
C) x=3
D) x=9

Answer 1

The zeros of the function f(x)=x²−6x+9 can be found by setting the equation equal to zero and solving for x. The only zero of the function is x=3.

Step-by-step explanation:

The zeros of the function f(x)=x²−6x+9 can be found by setting the function equal to zero and solving for x.

x²−6x+9=0

This quadratic equation can be factored as (x-3)(x-3)=0. So, the only zero of the function is x=3.

Therefore, the correct answer is C) x=3.