The topic included in these notes is Solving Polynomial equations using the Rational Root Theorem and Synthetic Division.
Included are 4 different examples using the Rational Root Theorem:
1) Solving a cubic polynomial with lead coefficient > 1
2) Solving a cubic trinomial with lead coefficient = 1
3) Solving a quartic polynomial with lead coefficient =1
4) Solving a quantic polynomial with lead coefficient >1
The graphic organizer can be used as a review guide before a test or it could also be used instead of notes; students actually prefer this type of note taking format. I use an interactive notebook, and each graphic organizer can be placed in one page of the notebook.
I hope this organizer is helpful to you and your students; I would love to hear back from you and see how it helped you.
Common Core State Standards:
*CCSS.Math.Content.HSA-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
*CCSS.Math.Content.HSA-SSE.B.3a Factor a quadratic expression to reveal the zeros of the function it defines.