Thread: How to use Euclidian Algorithm to find multiplicative inverse of a polynomial??

For example, finding the multiplicative inverse of

or even something like



I cant seem to figure out this concept.

Thank you!

Originally Posted by elninio

For example, finding the multiplicative inverse of

or even something like



I cant seem to figure out this concept.

Thank you!

Divide by with residue:

, with .

As has no real roots, it can't be , and thus

Tonio

Tonio, I think, the inverse of bx+a should be -(dx+c)/r.

Originally Posted by Shanks

Tonio, I think, the inverse of bx+a should be -(dx+c)/r.

Yes, of course: forgot the sign. Thanx

Tonio

Can we not write it in terms of a and b like

?