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resultant

Maxima Function

Calling Sequence

resultant (p_1, p_2, x)
resultant

Description

Computes the resultant of the two polynomials p_1 and p_2, eliminating the variable x. The resultant is a determinant of the coefficients of x in p_1 and p_2, which equals zero if and only if p_1 and p_2 have a non-constant factor in common.

If p_1 or p_2 can be factored, it may be desirable to call factor before calling resultant.

The variable resultant controls which algorithm will be used to compute the resultant.

subres for subresultant prs, mod for modular resultant algorithm, and red for reduced prs. On most problems subres should be best. On some large degree univariate or bivariate problems mod may be better.

The function bezout takes the same arguments as resultant and returns a matrix. The determinant of the return value is the desired resultant.

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