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?