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Using computer-aid approach to solve algebraic problems. Questions with this tag should typically include at least one other tag indicating what sort of algebraic problem is involved, such as ac.commutative-algebra or rt.representation-theory or ag.algebraic-geometry.
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Computing determinants of matrices of linear forms
To just add to the answers already here, it is possible to extract the individual coefficients of this polynomial exactly using the following method. Let
\begin{equation}
h(x) = \sum_{j = 0}^d c_j x^ …