Hello, zis!

Find the greatest common divisor of: .

I found that the GCD is: .

ThenI could factor them:

. .

. .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In desperation, I tried the Euclidean Algorithm on the polynomials

After a slight modification, the answer popped out!

Can anyone verify that the algorithmapply to polynomials?does