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polytools

 shorten
 try to make polynomial smaller by substitutions

 Calling Sequence shorten(f, x)

Parameters

 f - polynomial x - indeterminate

Description

 • Important: The polytools package has been deprecated. Use the superseding command PolynomialTools[Shorten] instead.
 • This function applies transformations on f in an effort to make f smaller, more precisely, to make its length smaller. The following transformations are tried: adding or multiplying x by a constant, replacing x by its reciprocal, and combinations of these transformations.
 • When a field extension is given by an irreducible polynomial f this procedure can be used to search for a simpler polynomial representing the same field extension.
 • If f contains only one variable then the second argument x is optional.

Examples

Important: The polytools package has been deprecated. Use the superseding command PolynomialTools[Shorten] instead.

 > $\mathrm{with}\left(\mathrm{polytools}\right)$
 $\left[{\mathrm{minpoly}}{,}{\mathrm{recipoly}}{,}{\mathrm{shorten}}{,}{\mathrm{sort_poly}}{,}{\mathrm{split}}{,}{\mathrm{splits}}{,}{\mathrm{translate}}\right]$ (1)
 > $\mathrm{shorten}\left({x}^{2}+x+1,x\right)$
 ${{x}}^{{2}}{+}{3}$ (2)
 > $\mathrm{shorten}\left(3{x}^{3}+18x+14,x\right)$
 ${{x}}^{{3}}{-}{6}$ (3)
 > $\mathrm{shorten}\left({x}^{4}+32,x\right)$
 ${{x}}^{{4}}{+}{2}$ (4)