Students will learn how to perform polynomial long division, and how to check their work. They'll also learn how to divide polynomials by connecting dots, as seen here. Another way students can check their answers, is by using SageMath:
sage: x = PolynomialRing(IntegerRing(), 'x').gen() sage: (x^2-3*x+2)/(x-2) x - 1
Conclude by giving your students these challenges:
- Half Time by NRICH
- Prompt Cards by NRICH
- 2009 AMC 8, Problem 7
- 2006 AMC 8, Problem 6
- Caravan of Camels by Pierce School: Problem / Solution