What is the inverse of X modulo $1 + X + X^2 + X^3 + X^4$?

Question

What is the inverse of X modulo $1 + X + X^2 + X^3 + X^4$? Is there any open softwares to calculate such things easily?

Hint $\bmod, 1+xf!:, \ (-f)x\equiv 1\ \ $ – Bill Dubuque Dec 04 '18 at 14:40 — Bill Dubuque, Dec 04 '18 at 14:40

score 1 · Accepted Answer · answered Dec 04 '18 at 09:25

1

Hint: $1+X+X^2+X^3+X^4=1+X(1+X+X^2+X^3)$.

answered Dec 04 '18 at 09:25

1 Answers1