find roots of a polynomial function using synthetic division and rational root theorem.

Question: 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.
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)

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Answered By:

Doug C.
Math Tutor with Reputation to make difficult concepts understandable

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