Trailing coefficient of a polynomial
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tcoeff(p) returns the trailing coefficient
of the polynomial
The returned coefficient is “trailing” with respect
to the lexicographical ordering, unless a different ordering is specified
via the argument
order. Cf. Example 1.
A polynomial expression
f is first converted
to a polynomial with the variables given by
If no variables are given, they are searched for in
details of the conversion. The result is returned as polynomial expression.
f cannot be converted to a polynomial.
Cf. Example 3.
We demonstrate how various orderings influence the result:
p := poly(5*x^2*y^3 + 4*x^3*y*z + 3*x*y^4*z, [x, y, z]): tcoeff(p), tcoeff(p, DegreeOrder), tcoeff(p, DegInvLexOrder)
The following call uses the reverse lexicographical order on 3 indeterminates:
The result of
tcoeff is not fully evaluated:
p := poly(27*x^2 + a*x, [x]): a := 5: tcoeff(p), eval(tcoeff(p))
delete p, a:
1/x may not be regarded as
The term ordering: either
Element of the coefficient domain of the polynomial or