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The Maxima on-line user's manual

Algebra Calculator

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Divide Calculator

Divide

Function: divide (<p_1>, <p_2>, <x_1>, ..., <x_n>) computes the quotient and remainder of the polynomial <p_1> divided by the polynomial <p_2>, in a main polynomial variable, <x_n>. The other variables are as in the ratvars function. The result is a list whose first element is the quotient and whose second element is the remainder.

f:x^4+x^3-x-1;
g:diff(f,x);
p0:f;
p1:g;
a:divide(p0,p1,x);
p2:-a[2];
a:divide(p1,p2,x);
p3:-a[2];
a:divide(p2,p3,x);
p4:-a[2];

Examples:

          (%i1) divide (x + y, x - y, x);
          (%o1)                       [1, 2 y]
          (%i2) divide (x + y, x - y);
          (%o2)                      [- 1, 2 x]

Note that y is the main variable in the second example.

There are also some inexact matches for divide. Try ?? divide to see them.

(%o1)                                true
(%i2) 

Divide Example

Related Examples

divide-load

load(grobner);

poly_monomial_order:'...

f: -x*y^2*z^3 - x^2*z...

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divide-load

load(grobner);

poly_monomial_order:'...

poly_monomial_order;

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divide-load

load(grobner);

poly_monomial_order:'...

a1:-z^4+x;

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divide

a : 16800;

b : -990;

divide(a,b);

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divide-load-solve

load(grobner);

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poly_reduced_grobner(...

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divide

divide((-21*x**5+10*x...

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divide

"*"/* POLYNOMDIVISION...

"*"/* Eingabe zweier ...

p1:x^3-3*x^2+3*x-1;

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divide-ibase-obase

x:1485670571391836714...

ibase : 16;

y:0eb8a4f86ed7f6024d3...

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divide

divide(2*x^5-3*x^4-5*...

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divide-expand-factor

P:(-x^3 + 2*x^2 + 5*x...

Q:x^2-4;

[C,R]:divide(4*P,Q);

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