x^2 + 4x + 14
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x^2-x-12 | x^4 + 3x^3 - 2x^2 + 0x + 1
- (x^4 - x^3 - 12x^2)
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4x^3 + 10x^2
- (4x^3 - 4x^2 - 48x)
--------------------
14x^2 + 48x + 1
- (14x^2 - 14x - 168)
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62x + 169