# How do you find all zeros of #f(x)=3x^3-12x^2+3x#?

##### 2 Answers

#### Explanation:

To find the zeros of a function, we must first find the derivative of the function. This one is not very difficult, we will just apply the power rule to each individual term

Then we set the derivative equal to zero and solve for x

We can plug this into our calculator to find the two x values seeing as how this function is not factorable. We get two values

#### Explanation:

First, factor out an x:

Already, you can figure out that when x zero, f(x) is zero, so

Then, attempt to factor the quadratic. Unfortunately, in this case, you can't use factoring, so plug the numbers into the quadratic formula, which is

(The square root can be simplified to

A six can also be cancelled out:

That means the zeroes are