Sketch High-Order Polynomial by Hand | VCE Maths Methods Worked Example
Worked Example Question (try it yourself before watching!):
Sketch f(x)=-(x+1)^4 (x-2)^3 (x-1)
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This maths example problem is taught according to the current Australian VCE (Victorian Certificate of Education) Mathematical Methods curriculum. This video is part of Midnight Maths Academy VCE Unit 1-2 Mathematical Methods Polynomials online course.
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** About Me **
Hi there! I'm Katerina. I'm a qualified Software Engineer with a Mathematics major and over 5 years of experience working as a tutor. In 2016 I graduated VCE as the DUX of my school with an ATAR of 99.70, and top scores in VCE Maths Methods, VCE Specialist Maths and VCE Physics. As you can tell, I absolutely love maths and hope that I can help you succeed on your study journey too!
** About Midnight Maths Academy **
Midnight Maths is my passion project to create a worked example of every type of VCE Mathematical Methods problem!
** Topics In This Online Maths Tutorial **
Evaluating Polynomial Values
Advanced algebra
Manipulating Equations
How Polynomials Work
Sketching Polynomial Graph
Plotting Polynomial Graph
Drawing Polynomial Function
Transformations of Polynomials
Finding Axis Intercepts
Null Factor Law
Long Division of Polynomials
Rearranging Equations for x
Sketching Factorised Form
Polynomial of Degree 4
Polynomial of Degree 8
Behaviour at Axis Intercepts
Repeated Roots
Point of Inflection (POI)
Turning Points
Minimum and Maximum Values
Reflected Graph
Leading Power
** Disclaimer **
VCE® is a registered trademark of the VCAA. The VCAA does not endorse or make any warranties regarding this study resource. Past VCE exams and related content can be accessed directly at www.vcaa.vic.edu.au