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Understand and practice every type of question you will encounter in the Year 11 Unit 1-2 VCE Polynomials topic
What you'll learn
How Polynomials work
Algebra with Polynomials
Division of Polynomials
Factorising Polynomials
Factor and Remainder Theorems
Solving Polynomial Equations
Solving Inequalities
Sketching Polynomials
Sketching Cubic and Quartic Functions
Determining Polynomial Equations
Root Finding (Bisection Method)
Applications and exam-style questions
Graphics CAS calculator tips
Requirements
Arithmetic: especially a good grasp of fractions, division concepts and powers.
Algebra: including solving equations and simultaneous (systems) of equations.
Functions: basic function notation, what functions are and how they work.
Sketching basics: cartesian coordinates, basics of transformations.
Quadratics: all kinds of factorising, sketching and solving with null factor law.
*Optional: access to a Texas Instruments Graphics CAS Calculator (or similar). This is only required for the Applications section, but if you have one on hand it would be great practice!
*Optional: access to a copy of Mathematical Methods Units 1&2 Cambridge Senior Mathematics Australian Curriculum/VCE (Cambridge University Press 2015 publication). The homework in this course is set based on this textbook. While this is optional, I strongly suggest attempting the homework to help consolidate your knowledge!
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~Get Your Files Here !/1. Introduction/1. Welcome!.mp4
5.4 MB
~Get Your Files Here !/1. Introduction/1. Welcome!.srt
1.5 KB
~Get Your Files Here !/1. Introduction/1.1 About_This_Course_Polynomials_VCE_Year_11_Methods.pdf
74.3 KB
~Get Your Files Here !/1. Introduction/2. About This Course.mp4
13.8 MB
~Get Your Files Here !/1. Introduction/2. About This Course.srt
2.5 KB
~Get Your Files Here !/1. Introduction/3. Learning Objectives.mp4
12.6 MB
~Get Your Files Here !/1. Introduction/3. Learning Objectives.srt
2.8 KB
~Get Your Files Here !/1. Introduction/4. Assumed Knowledge.mp4
12 MB
~Get Your Files Here !/1. Introduction/4. Assumed Knowledge.srt
2.6 KB
~Get Your Files Here !/1. Introduction/5. Course Resources.mp4
11.9 MB
~Get Your Files Here !/1. Introduction/5. Course Resources.srt
2 KB
~Get Your Files Here !/1. Introduction/5.1 Course_Notes_Polynomials_VCE_Year_11_Methods.pdf
521.6 KB
~Get Your Files Here !/1. Introduction/5.2 Course_Questions_Polynomials_VCE_Year_11_Methods.pdf
340.2 KB
~Get Your Files Here !/1. Introduction/6. How To Use This Course.mp4
36.8 MB
~Get Your Files Here !/1. Introduction/6. How To Use This Course.srt
7.5 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/1. Determining Cubic Equations (Formula Given, Example 1).mp4
17.2 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/1. Determining Cubic Equations (Formula Given, Example 1).srt
4.6 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/2. Determining Cubic Equations (Formula Given, Example 2).mp4
8.8 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/2. Determining Cubic Equations (Formula Given, Example 2).srt
3.4 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/3. Determining Cubic Equations (Formula Given, Example 3).mp4
40.6 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/3. Determining Cubic Equations (Formula Given, Example 3).srt
8.1 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/4. Determining Cubic Equations (Formula Not Given, Example 1).mp4
21.4 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/4. Determining Cubic Equations (Formula Not Given, Example 1).srt
5.7 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/5. Determining Cubic Equations (Formula Not Given, Example 2).mp4
36.6 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/5. Determining Cubic Equations (Formula Not Given, Example 2).srt
8.4 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/6. Determining Cubic Equations (From Graph, Example 1).mp4
10.5 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/6. Determining Cubic Equations (From Graph, Example 1).srt
3 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/7. Determining Cubic Equations (From Graph, Example 2).mp4
13.2 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/7. Determining Cubic Equations (From Graph, Example 2).srt
3.8 KB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/8. Determining Cubic Equations (From Graph, Example 3).mp4
75.5 MB
~Get Your Files Here !/10. Determining Cubic Equations (Families of Cubics)/8. Determining Cubic Equations (From Graph, Example 3).srt
15.2 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/1. Solving Quartic Functions (Example 1).mp4
11.8 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/1. Solving Quartic Functions (Example 1).srt
4.4 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/10. Sketching Quartic Functions using Transformations (Example 4).mp4
15.1 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/10. Sketching Quartic Functions using Transformations (Example 4).srt
5.4 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/11. Advanced Quartic Graphs.mp4
36.2 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/11. Advanced Quartic Graphs.srt
10.3 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/12. Implied Domain of Quartic Functions.mp4
8.8 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/12. Implied Domain of Quartic Functions.srt
3.1 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/2. Solving Quartic Functions (Example 2).mp4
1.5 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/2. Solving Quartic Functions (Example 2).srt
855 B
~Get Your Files Here !/11. Sketching and Understanding Quartics/3. Solving Quartic Functions (Example 3).mp4
6.9 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/3. Solving Quartic Functions (Example 3).srt
3.1 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/4. Solving Quartic Functions (Example 4).mp4
9.6 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/4. Solving Quartic Functions (Example 4).srt
3 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/5. Solving Quartic Functions (Example 5).mp4
19.3 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/5. Solving Quartic Functions (Example 5).srt
5.2 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/6. Solving Quartic Functions (Example 6).mp4
51 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/6. Solving Quartic Functions (Example 6).srt
13.2 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/7. Sketching Quartic Functions using Transformations (Example 1).mp4
27.7 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/7. Sketching Quartic Functions using Transformations (Example 1).srt
8.8 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/8. Sketching Quartic Functions using Transformations (Example 2).mp4
26.6 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/8. Sketching Quartic Functions using Transformations (Example 2).srt
7 KB
~Get Your Files Here !/11. Sketching and Understanding Quartics/9. Sketching Quartic Functions using Transformations (Example 3).mp4
28 MB
~Get Your Files Here !/11. Sketching and Understanding Quartics/9. Sketching Quartic Functions using Transformations (Example 3).srt
7.9 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/1. Odd and Even Functions (Example 1).mp4
9.4 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/1. Odd and Even Functions (Example 1).srt
2.9 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/10. Odd-Degree Polynomial Power Functions Example 2.mp4
90.8 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/10. Odd-Degree Polynomial Power Functions Example 2.srt
17.7 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/11. Odd-Degree Polynomial Power Functions Example 3.mp4
26.8 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/11. Odd-Degree Polynomial Power Functions Example 3.srt
7 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/12. Comparing Polynomial Power Function Graphs Example 1.mp4
21.7 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/12. Comparing Polynomial Power Function Graphs Example 1.srt
6.1 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/13. Comparing Polynomial Power Function Graphs Example 2.mp4
15.8 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/13. Comparing Polynomial Power Function Graphs Example 2.srt
4.7 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/14. Polynomials of Higher Degree – Advanced Graphs Example 1.mp4
136.8 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/14. Polynomials of Higher Degree – Advanced Graphs Example 1.srt
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~Get Your Files Here !/12. Overall Behaviour of Polynomials/15. Polynomials of Higher Degree – Advanced Graphs Example 2.mp4
23.1 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/15. Polynomials of Higher Degree – Advanced Graphs Example 2.srt
8.7 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/16. Polynomials of Higher Degree – Advanced Graphs Example 3.mp4
23.3 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/16. Polynomials of Higher Degree – Advanced Graphs Example 3.srt
8.4 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/2. Odd and Even Functions (Example 1).mp4
14.7 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/2. Odd and Even Functions (Example 1).srt
4.5 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/3. Odd and Even Functions (Example 1).mp4
15.2 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/3. Odd and Even Functions (Example 1).srt
5.3 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/4. Odd and Even Functions (Example 1).mp4
30 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/4. Odd and Even Functions (Example 1).srt
7.6 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/5. What are Power Functions.mp4
16.4 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/5. What are Power Functions.srt
5.4 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/6. Even-Degree Polynomial Power Functions (Example 1).mp4
27.9 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/6. Even-Degree Polynomial Power Functions (Example 1).srt
8.6 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/7. Even-Degree Polynomial Power Functions (Example 2).mp4
111.6 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/7. Even-Degree Polynomial Power Functions (Example 2).srt
22 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/8. Even-Degree Polynomial Power Functions (Example 3).mp4
22.7 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/8. Even-Degree Polynomial Power Functions (Example 3).srt
7.4 KB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/9. Odd-Degree Polynomial Power Functions Example 1.mp4
25.4 MB
~Get Your Files Here !/12. Overall Behaviour of Polynomials/9. Odd-Degree Polynomial Power Functions Example 1.srt
8.1 KB
~Get Your Files Here !/13. Root Finding with Bisection Method/1. Numerical Root-Finding with Bisection Method Guess the Number Example.mp4
88.1 MB
~Get Your Files Here !/13. Root Finding with Bisection Method/1. Numerical Root-Finding with Bisection Method Guess the Number Example.srt
11 KB
~Get Your Files Here !/13. Root Finding with Bisection Method/2. Numerical Root-Finding with Bisection Method Example 1.mp4
126.9 MB
~Get Your Files Here !/13. Root Finding with Bisection Method/2. Numerical Root-Finding with Bisection Method Example 1.srt
22 KB
~Get Your Files Here !/13. Root Finding with Bisection Method/3. Numerical Root-Finding with Bisection Method Example 2.mp4
77.5 MB
~Get Your Files Here !/13. Root Finding with Bisection Method/3. Numerical Root-Finding with Bisection Method Example 2.srt
13.5 KB
~Get Your Files Here !/14. Applications/1. CAS Calculator Tips Defining Functions.mp4
6.3 MB
~Get Your Files Here !/14. Applications/1. CAS Calculator Tips Defining Functions.srt
2.1 KB
~Get Your Files Here !/14. Applications/10. CAS Calculator Tips Finding MinMax of Polynomials.mp4
16.1 MB
~Get Your Files Here !/14. Applications/10. CAS Calculator Tips Finding MinMax of Polynomials.srt
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~Get Your Files Here !/14. Applications/11. CAS Calculator Tips Determining Polynomial Equations.mp4