1. How many roots would a polynomial equation of degree 10 have?
  1. If 1 + i is a root of a polynomial equation with real coefficients, what is another root?

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  2. If a 6th degree polynomial equation with rational coefficients has 2 + \/5 as a root, what is another root?

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  3. Find a cubic equation with integral coefficients and roots    1 - \/6 and -3/2.

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  4. What is the sum of the roots of -2x3 + 3x2 + 1 = 0?  What is the product of the roots?

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  5. Find integers b and c such that the equation x3 + bx2 + cx - 10 = 0 has -2 + i as a root.


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    answer