Problem 3.1:
Find all roots, real and complex, of the following polynomial:
x2 + 4.
Problem 3.2:
Find all roots, real and complex, of the following polynomial:
x4 - x3 - x2 - x - 2.
Problem 3.3:
If
3ı is a root of a polynomial, what must one other root be?
Problem 3.4:
Find all roots, real and complex, of the following polynomial:
x3 +4x2 + 25x + 100.
Problem 3.5:
Find all roots, real and complex, of the following polynomial:
x4 +2x2 - 3.
Problem 3.6:
Find all roots, real and complex, of the following polynomial:
x8 +2x7 +4x6 +8x5 - x4 -2x3 -4x2 - 8x.