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The Maxima on-line user's manual

Algebra Calculator

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Gfactor Calculator

Gfactor

Function: gfactor (<expr>) Factors the polynomial <expr> over the Gaussian integers (that is, the integers with the imaginary unit %i adjoined). This is like factor (<expr>, <a>^2+1) where <a> is %i.

gfactor (x^2 - 1);

Example:

          (%i1) gfactor (x^4 - 1);
          (%o1)           (x - 1) (x + 1) (x - %i) (x + %i)

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

(%o1)                                true
(%i2) 

Gfactor Example

Related Examples

gfactor

T1:x**2-8*x+15;

T2:x**2-8*x+16;

T3:x**2-8*x+17;

Calculate

gfactor-polarform-sqrt

z:polarform((%e/2*(-1...

gfactor(z);

Calculate

gfactor-polarform-sqrt

z:polarform((%e/2*(-1...

gfactor(z);

Calculate

gfactor

f: (x-(1/a)-(1/b))*(x...

gfactor(f,x);

Calculate

gfactor

f : ((x^4)+(4*x^3)+(6...

gfactor(f);

Calculate

gfactor

term:[x^2-8*x+15,x^2-...

gfactor(term);

Calculate

gfactor

f(x,y,z):=-y^2*z^10+2...

gfactor(f(x,y,z));

Calculate

gfactor

term:[x^2-8*x+15,x^2-...

gfactor(term);

Calculate