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lcm(Poly1, Poly2,…)
Example:
lcm(x^2-2*x+1,x^3-1) gives (x-1)*(x^3-1)
Polynomial – Create
Poly to Coef
Given a polynomial, returns a vector containing the coeicients of the polynomial. With a variable as second
argument, returns the coeicients of a polynomial with respect to the variable. With a list of variables as the
second argument, returns the internal format of the polynomial.
symb2poly(Expr,[Var]) or symb2poly(Expr, {Var1, Var2,…})
Example:
symb2poly(x*3+2.1) returns [3 2.1]
Coef to Poly
With one vector as argument, returns a polynomial in x with coeicients (in decreasing order) obtained from
the argument vector. With a variable as second argument, returns a similar polynomial in that variable.
poly2symb(Vector, [Var]))
Example:
poly2symb([1,2,3],x) returns (x+2)*x+3
Roots to Coef
Returns a vector containing the coeicients (in decreasing order) of the univariate polynomial whose roots
are specied in the argument vector.
pcoef(List)
Example:
pcoeff({1,0,0,0,1}) returns [1 -2 1 0 0 0]
Roots to Poly
Takes as argument a vector. The vector contains each root or pole of a rational function. Each root or pole is
followed by its order, with poles having negative order. Returns the rational function in x that has the roots
and poles (with their orders) specied in the argument vector.
fcoeff(Vector) where Vector has the form [Root1, Order1, Root2, Order2, …])
Example:
fcoeff([1,2,0,1,3,-1]) returns (x-1)^2*x*(x-3)^- 1
Random
Returns a vector of the coeicients of a polynomial of degree Integer and where the coeicients are
random integers in the range –99 through 99 with uniform distribution or in an interval
specied by
Interval. Use with poly2symbol to create a random polynomial in any variable.
randpoly(Integer, Interval, [Dist]), where Interval is of the form Real1..Real2.
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