Polynomial Long Division in Algebra 2

Are your Algebra 2 students struggling with polynomials and polynomial long division? There is a free PDF cheat sheet in this post that can be downloaded, printed and given to students for their notebooks. The sheet can also be enlarged for a math word wall.

A while back I shared a reference sheet for students learning how to divide polynomials using synthetic division. We focus on this method in our Algebra 2 class, but because polynomial long division is in the standards, I thought to also make a reference sheet to help students with this method.

In the example on the cheat sheet, students are guided through the steps needed to find the imaginary zeros of a given polynomial function.

Students start at the "start" arrow with step 1. 

"What's missing to make x multiply to get x^3?" 

Oh! 2 x's! 

So an x^2 goes up top. Students then multiply this x^2 by x+2, subtract, bring down and start the process over again. 
To complete the process, students use the Quadratic Formula on x^2 - 4x + 5 to find the two complex zeros of the original polynomial.

You can find this reference sheet for polynomial long division here


Polynomial Sketching Quick Check Sheet


  1. thank you very much....your free downloadable items helped me a lot in sourcing out sheets for my math class