Opening the paper…
Let and . Find the degree of .
Let $p(x)=- x^{4} + x + 1$ and $q(x)=2 x^{3} + 2$. Find the degree of $p(x)+q(x)$. Let $p(x)=3 x^{5} - 3 x + 2$ and $q(x)=2 x^{2} + 1$. Find the degree of $p(x)\,q(x)$. Let $p(x)=x^{3} - 2 x + 3$ and $q(x)=- x^{4} + x^{2} + 4$. Find the degree of $p(q(x))$.