Polynomial Operations
Factorising Polynomials
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Factorising Polynomial Expressions (9:06)
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Factorising Polynomial Expressions using a Common Factor (8:43)
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Factorising Polynomial Expressions with a Given Factor (9:06)
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Factorising Polynomial Expressions without a Given Factor (9:19)
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Factorising Higher Order Polynomial Expressions by Grouping (7:46)
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Factorising Higher Order Polynomial Expressions by Repeated Factorisation (10:37)
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Practice Questions
Polynomial Graphs
Complex Numbers
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What are Imaginary Numbers? (7:42)
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Starting Complex Numbers (7:11)
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The Complex Plane and Argand Diagrams (7:01)
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Adding and Subtracting Complex Numbers (6:08)
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Multiplying Complex Numbers (8:49)
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Complex Conjugates and Dividing Complex Numbers (11:41)
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Complex Solutions to Quadratic Equations (10:54)
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Complex Conjugate Pair Solutions (10:20)
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Practice Questions
Rational Exponents and Radicals
Logarithms
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Logarithmic Expressions (9:11)
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‘e’ and the Natural Logarithm (5:33)
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Graphs of Logarithmic Functions (6:57)
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Switching Between Exponential & Logarithmic Form (7:02)
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Rules of Logarithms (7:22)
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Solving Exponential Equations using Logarithms (10:59)
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Solving Exponential Equations using Rules of Logarithms (9:53)
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Practice Questions
Graph Transformations
Equations
The Binomial Expansion
Trigonometry
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The Unit Circle Definition of the Trigonometric Functions (12:17)
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Starting Radians (6:10)
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Using Radians (10:24)
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Trigonometric Exact Values for Common Angles (5:42)
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Trigonometric Exact Values for Multiples of Common Angles (9:54)
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The Graph of the Sine Function (9:52)
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The Graph of the Cosine Function (9:30)
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The Graph of the Tangent Function (8:21)
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Practice Questions
Series
Additional Resources
