Students will learn what the rational root theorem is. Then students will learn how to use the rational root theorem and synthetic division to factor certain cubic polynomials. In this section, students will not learn why the rational root theorem is true, as this would require Euclid's lemma, which students won't encounter until a course on elementary number theory.
Conclude by giving your students these challenges:
- Fun Time by NRICH
- Rod Ratios by NRICH
- So It's 28 by NRICH
- 2018 AMC 8, Problem 6
- Walking to School by Pierce School: Problem / Solution