## Operations on polynomials

Determine the sum, difference, product and quotient of the following polynomials $$p$$ and $$q$$:
$$p(x)=5x^3+3x^2+4x+3$$, $$q(x)=3x^2-1x+5$$ over $$\mathbb R$$
$$p(x)=3x^3+2x^2+4x+1$$, $$q(x)=x^2+2x+2$$ over $$\mathbb Z_5$$