Manual

Functions and commands 343
Degree Returns the degree of a polynomial.
degree(Poly)
Example:
degree(x^3+x) gives 3
Factor by Degree For a given polynomial in x of degree n, factors out x
n
and
returns the resulting product.
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,[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
Given a matrix whose 2 rows each contain the coefficients of
a polynomial, returns the Chinese remainder of the
polynomials, also written as a matrix.
chinrem([Lst||Expr,Lst||Expr],[Lst||Expr,
Lst||Expr])
Example:
chinrem returns
[[2 2 1] [1 1 2 1 1]]
120
101
110
111
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