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

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

Real factor:

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

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

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

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

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