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- May 18th 2010, 04:05 PMeichyessFind all zeros of...
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- May 18th 2010, 04:08 PMpickslides
What have you tried? Do you know the factor theorem?

Start substituting values that are factors of $\displaystyle -25 $ until you get a zero. - May 18th 2010, 06:10 PMintegral
Use the rational root theorem $\displaystyle \frac{p}{q}=\frac{\textrm{factor of constant}}{\textrm{factor of leading coeff.}}$

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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