Problems
Problem 5.1:
What is the multiplicity of each root of
P(x) = (x - 3)2(x - 5)3(x + 1)?
[Solution]
Problem 5.2:
If
x = 2 - 7i is a root of
P(x), what is another root? Name one real factor
of
P(x).
[Solution]
Problem 5.3:
If
x = 4 - 3i is a root of
P(x) = x3 -12x2 + 57x - 100, factor
P(x)
completely.
[Solution]
Problem 5.4:
If
2 + 5i is a root of
P(x) = x3 -5x2 + 33x - 29, factor
P(x)
completely.
[Solution]
Problem 5.5:
How many complex roots foes
4x5 +3x4 -2x3 + 1 have?
[Solution]
Problem 5.6:
How many complex roots does
3x4 +4ix3 +3ix2 +4x2 - 5ix - 2x + 5i - 7
have?
[Solution]
