Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

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

f(x):=b2*x^2+b1*z+b0;

gfactor(f(x));

Calculate

gfactor-polarform-sqrt

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

gfactor(z);

Calculate

gfactor-polarform-sqrt

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

gfactor(z);

Calculate

gfactor-linsolve

eq1:x*4+y-2=y;

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

gfactor-plot2d
plot2d(x^5 - x^4 + 3*x^3 + 9*x^2 - x + 5, [x,-200,200], [y,-200,200]);

eq1: x^5 - x^4 + 3*x^...

gfactor(eq1);

plot2d(x^5 - x^4 + 3*...

Calculate

gfactor-plot2d
plot2d(x^5 - x^4 + 3*x^3 + 9*x^2 - x + 5, [x,-200,200], [y,-200,200]);

eq1: x^5 - x^4 + 3*x^...

gfactor(eq1);

plot2d(x^5 - x^4 + 3*...

Calculate

gfactor

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

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

Calculate

gfactor

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

gfactor(f,x);

Calculate

gfactor

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

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

Calculate