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Problem : Find all roots, real and complex, of the following polynomial: x2 + 4.

x = {2ı, -2ı}.

Problem : Find all roots, real and complex, of the following polynomial: x4 - x3 - x2 - x - 2.

x = {2, -1,ı, - ı}

Problem : If 3ı is a root of a polynomial, what must one other root be?

The complex conjugate of 3ı must be a root also, so -3ı is also a root of the polynomial.

Problem : Find all roots, real and complex, of the following polynomial: x3 +4x2 + 25x + 100.

x = { -4, 5ı, -5ı}.

Problem : Find all roots, real and complex, of the following polynomial: x4 +2x2 - 3.

x = {1, -1,ı, - ı}.

Problem : Find all roots, real and complex, of the following polynomial: x8 +2x7 +4x6 +8x5 - x4 -2x3 -4x2 - 8x.

x = {0, -2, -1, 1,ı, - ı, 2ı, -2ı}.
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