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Mathematical Methods: Units 1 and 2

Quartics and other polynomials PREVIEW

Polynomials

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Polynomials
About this lesson
This video looks at the ideas and shape of quartics graphs. It looks at the basic quartic before looking at more complex examples. The video forms part of the Year 11 Units 1 and 2 (VCE) Mathematical Course and is a pre-requisite for the Year 12 course. In Methods you need to know the shapes of various graphs. In this video I look at quartics and how we can solve for crossing points on the x- and y-axes and how we might go about sketching them. I look at what odd and even functions are and show how we can test a function using basic mathematics. There are lots of worked examples all explained in an easy to understand way.
Lesson chapters
  1. Welcome
  2. Learning objectives
  3. Recap of Past Learning
  4. The Basic Quartic
  5. Turning point form of a basic quartic
  6. Example 1
  7. Other quartic functions
  8. Sketching Quartic functions
  9. Example 2a
  10. Example 2b
  11. Example 2c
  12. Odd and even polynomials: Even Functions
  13. Odd and even polynomials: Odd functions
  14. Power functions
  15. Example 3a
  16. Example 3b
  17. Example 3c
  18. Example 3d
  19. Example 4
  20. Learning Objectives: Revisited
Legal (VCAA)

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

Video details
  • Title Quartics and other polynomials PREVIEW
  • Section Polynomials
  • Course Mathematical Methods: Units 1 and 2

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