The question that I am having troubles to solve is as follows:
Find the gcd for these two polynomials in $\mathbb Z_5[y]$: $$p(y) = y^4 + y^3 + 3y$$ $$q(y) = y^3 + y^2 - 2$$ Sorry for my poor presentation for the polynomials symbols.
Please give me some help, as I don't even know how to start. Thank you!