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.

When I taught algebra 2, math templates, like the one below for sketching polynomials, were my go-to for our daily warm-ups and closers. 

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