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(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)

You can work this out using long division:

x2 - 3x + 4

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x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4
x4 + x3 + x2
-3x3 + x2 + x
-3x3 - 3x2 - 3x
4x2 + 4x + 4

4x2 + 4x + 4

0R



∴ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)

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Q: X4-2x3 plus 2x2 plus x plus 4 divided by x2 plus x plus 1 solutions?
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