Algebra of polynomials | Unit 3 and 4 VCE Maths Methods

This video is aimed at students about to commence Unit 3 and 4 study of VCE Mathematical Methods. These skills are essential, but assumed, knowledge for Unit 3 and 4 Mathematical Methods students.

This video is a review of the algebra of polynomials, including:
🔸 equating coefficients
🔸 polynomial division (long division)
🔸 the remainder and factor theorems
🔸 factorisation of cubic expressions

In this video, I work through a series of examples. You might consider pausing the video to attempt each question before checking your answer against my solution.

If you need more detailed explanations of the concepts covered in this video, the following playlist may be of use:

During the video, I also refer to synthetic division as an alternative to long division.

My class uses the Cambridge Senior Mathematics textbook for Units 3 and 4 Mathematical Methods for the Australian Curriculum / VCE. The work covered in this video corresponds to exercise 4C in that textbook.

Throughout the video I make use of the TI Nspire CAS CX II handheld.