Find all the zeros of f(x) = 9x^3 + 15x^2 - 30x + 18. Enter the zeros separated by commas. Enter the exact value, not decimal approximations.

Question

To receive credit for this question, the following steps must be presented in the solution:

- Step 1: List all potential rational zeros of the function using Rational Zero Theorem.

- Step 2: Use the remainder theorem to determine whether the potential rational zeros are roots of the function. If the remainder is 0, the candidate is a zero. If the remainder is not 0, discard the candidate.

- Step 3: Divide the polynomial function by the root obtained in the step 2 using synthetic division or long division. A quotient will be drived at this step.

- Step 4: If the quotient is a quadratic, go to the step 5. If the quotient is not a quadratic, repeat the steps 2 & 3 until the quotient is a quadratic.

- Step 5: Use the quotient to find the remaining zeros by factoring or the quadratic formula.

(Step by step walkthrough would be appreciated)

Answer 1