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Division, Greatest Common Denominator

The division of two polynomials p and q in one polynomial and remainder is calculated using divide(p,q). If the polynomials have more than one variable, an optional variable can be specified, which will be used for division. gcd(p,q) returns the greatest common denominator of two expressions. Both functions also work with numbers as arguments.
>> divide(122344,7623)
ans = [ 16  376 ]
>> divide(2+i,3+2*i)
ans = [ 1/2  1/2 ]
>> syms x,z
>> divide(x^3*z-1,x*z-x,x)
ans = [ x^2*z/(z-1)  -1 ]
>> divide(x^3*z-1,x*z-x,z)
ans = [ x^2  x^3-1 ]
>> gcd(32897397,24552502)
ans = 377
>> gcd(z*x^5-z,x^2-2*x+1)
ans = x-1



Helmut Dersch
2009-03-15