# Algebra II: Polynomials

### Problems

Problem : What is the multiplicity of each root of P(x) = (x - 3)2(x - 5)3(x + 1) ?

Problem : If x = 2 - 7i is a root of P(x) , what is another root? Name one real factor of P(x) .

Problem : If x = 4 - 3i is a root of P(x) = x 3 -12x 2 + 57x - 100 , factor P(x) completely.

Problem : If 2 + 5i is a root of P(x) = x 3 -5x 2 + 33x - 29 , factor P(x) completely.

Problem : How many complex roots foes 4x 5 +3x 4 -2x 3 + 1 have?

Problem : How many complex roots does 3x 4 +4ix 3 +3ix 2 +4x 2 - 5ix - 2x + 5i - 7 have?

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