Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated list. x =

Step-by-step explanation:

We have been given a function . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

Now, we will factor our equation. We can see that all terms of our equation a common factor that is .

Upon factoring out , we will get:

Now, we will split the middle term of our equation into parts, whose sum is and whose product is . We know such two numbers are .

Now, we will use zero product property to find the zeros of our given function.

Therefore, the zeros of our given function are .