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Roots of 3rd and 4th Degree Polynomials

Completely factor each problem by following these steps:
  1. Use Rational Roots Theorem to find potential rational roots.
    Possible roots =  , where p represents factors of the constant term and
    q represents factors of the leading coefficient.
  2. Use synthetic division, or long division, to find an actual root.
  3. Repeat step 2 until the polynomial is of degree 2.
  4. Factor the remaining quadratic polynomial.
  5. List all factors for “completely factored form”.

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K Dodd

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