Students will learn how to find the GCD and LCM of polynomials. Some problems should involve univariate polynomials, others multivariate. As an example problem, factor the GCD out of \(4x^4y + 8x^3y.\) For each problem, students will start by factoring out what is common to every term. For the more difficult problems, factoring out will leave students with a monomial times a quadratic. Students will then have to factor the quadratic, if possible.

Watch these Khan Academy videos:

Factor polynomials: common factor by Khan Academy

Conclude by giving your students these challenges:

This challenge is about making squares out of rectangular pieces of paper, whether they be US letter or otherwise. You're allowed to fold the paper, draw with a pencil, and cut using scissors.

Part 1: How can you make a square from a single sheet of paper?

Part 2: How can you make a square from two sheets of paper, without folding either?