%

poly % m

:: integer remainder to all integer coefficients of the polynomial.

return

integer or polynomial

poly

integer or polynomial with integer coefficients

m

intger

• Returns a polynomial whose coefficients are remainders of the coefficients of the input polynomial divided by m.
• The resulting coefficients are all normalized to non-negative integers.
• An integer is allowed for poly. This can be used for an alternative for irem() except that the result is normalized to a non-negative integer.
• Coefficients of poly and m must all be integers, though the type checking is not done.

[0] (x+2)^5 % 3;
x^5+x^4+x^3+2*x^2+2*x+2
[1] (x-2)^5 % 3;
x^5+2*x^4+x^3+x^2+2*x+1
[2] (-5) % 4;
3
[3] irem(-5,4);
-1

References

section idiv, irem.

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