Leading coefficient of a polynomial
MuPAD® notebooks are not recommended. Use MATLAB® live scripts instead.
MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.
lcoeff(p) returns the leading coefficient
of the polynomial
The returned coefficient is “leading” 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^4 + 4*x^3*y*z^2 + 3*x^2*y^3*z + 2, [x, y, z]): lcoeff(p), lcoeff(p, DegreeOrder), lcoeff(p, DegInvLexOrder)
The following call uses the reverse lexicographical order on 3 indeterminates:
The result of
lcoeff is not fully evaluated:
p := poly(a*x^2 + 27*x, [x]): a := 5: lcoeff(p), eval(lcoeff(p))
delete p, a:
1/x may not be regarded as
The term ordering: either
Element of the coefficient domain of the polynomial or