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Problems related to the solvability of polynomial equations

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Solvability of polynomial equations

The polynomial system of equations

is solvable if and only if the ideal I generated from has the following property:

.

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Polynomials are entered as the sum of terms. For every term, first must enter coefficient and then enter every variables and their power. Every variable must be entered in the brackets, and before power of variable must be entered char ^.

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