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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.

T1:x^2+8*x+15;
divide(T1,x-3);
T2:x^2-8*x+15;
divide(T2,x-3);
divide(T2,x-5);
divide(T2,x-4);
T3:x^3+3*x^2+3*x+1;
T4:x^2+2*x+1;
divide(T3,T4);

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);

f1: x^3-2*x*y;

f2: x^2*y-2*y^2+x;

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divide(98765432,88);

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divide

p1:(x-4)*(x+3)-3*x+18;

divide(p1,x+3,x);

Calculate

divide

p1:3*x^3+9*x^2+18*x+36;

p2:x+1;

divide(p1,p2);

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divide-load

load(grobner);

poly_monomial_order:'...

s:poly_s_polynomial(x...

Calculate

divide-expand

n:11;

R:expand((x+y-z)^n - ...

T:expand(n*(x+y)*(z-x...

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divide-load

load(grobner);

poly_monomial_order:'...

poly_pseudo_divide (x...

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divide

a: 77400*x^7 + 29655*...

b:-5040*x^6 + 27906*x...

divide(a,b,x);

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divide-factor-last-num

num(last(divide(facto...

473995*5-2070046;

factor(299929);

Calculate

divide

divide(-12*x**4+20*x*...

Calculate