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Math Help - Find all zeros of...

  1. #1
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    Find all zeros of...

    .
    Last edited by eichyess; May 20th 2010 at 04:14 PM.
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  2. #2
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    What have you tried? Do you know the factor theorem?

    Start substituting values that are factors of -25 until you get a zero.
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  3. #3
    Member integral's Avatar
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    Use the rational root theorem \frac{p}{q}=\frac{\textrm{factor of constant}}{\textrm{factor of leading coeff.}}

    Use Descartes rules of signs to find how many roots you need, in order to know when to stop.

    Then use synthetic division to check your answer (If the remainder is 0, then it is a root.)

    If the number of roots found by descartes rule does not match the degree you might have to factor. OR! You can use synthetic division on the orginal polynomial by the roots, and the resulting equation will possibly give you a solvable equation (such as x^2+5, then \pm 5i)


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