How can you solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically?

How can you graph rational functions, including zeros and asymptotes?

How can you solve simple rational equations in one variable and give examples showing how extraneous solutions arise?

How can you rewrite simple rational expressions in different forms using long division?

How can you apply the remainder theorem?

How can you prove polynomial identities and use them to describe numerical relationships?