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340 Functions and commands
Factor by Degree Returns a polynomial factorized in x^n, where n is the degree
of polynomial.
factor_xn(Poly)
Example:
factor_xn(x^4-1) gives x^4*(1-x^-4)
Coef. GCD Returns the greatest common divisor (GCD) of the coefficients
of a polynomial.
content(Poly(P),[Var])
Example:
content(2*x^2+10*x+6) gives 2
Zero Count If a and b are real, this returns the number of sign changes in
the specified polynomial in the interval [a,b]. If a or b are non-
real, it returns the number of complex roots in the rectangle
bounded by a and b. If Var is omitted, it is assumed to be x.
sturmab(Poly[,Var],a,b)
Examples:
sturmab(x^2*(x^3+2),-2,0) returns 1
sturmab(n^3-1,n,-2-i,5+3i)
returns 3
Chinese
Remainder
Returns the Chinese remainder of the polynomials written as
lists of coefficients or in symbolic form.
chinrem([Lst||Expr,Lst||Expr],[Lst||Expr
,Lst||Expr])
Example:
chinrem([[1,2],[1,0,1]],[[1,1],[1,1,1]]) gives
[poly1[-1,-1,0,1],poly1[1,1,2,1,1]]
Special
Cyclotomic Returns the list of coefficients of the cyclotomic polynomial of
an integer.
cyclotomic(Int)
Example:
cyclotomic(20) gives [1,0,-1,0,1,0,-1,0,1]