1) Use the Rational Zero Theorem to list all possible rational zeros of the function.
2) Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. If the remainder is 0, the candidate is a zero. If the remainder is not zero, discard the candidate.
3) Repeat step two using the quotient found with synthetic division. If possible, continue until the quotient is a quadratic.
4) Find the zeros of the quadratic function. Two possible methods for solving quadratics are factoring and using the quadratic formula.
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Answer:
1) Use the Rational Zero Theorem to list all possible rational zeros of the function.
2) Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. If the remainder is 0, the candidate is a zero. If the remainder is not zero, discard the candidate.
3) Repeat step two using the quotient found with synthetic division. If possible, continue until the quotient is a quadratic.
4) Find the zeros of the quadratic function. Two possible methods for solving quadratics are factoring and using the quadratic formula.