B6: Polynomials & Rational Expressions

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From the DfE Mathematics AS and A-Level Content (LINK):


Introducing Polynomials

B6-01 [Polynomials: Introducing Polynomials]

B6-02 [Polynomials: Adding and Subtracting Polynomials]

B6-03 [Polynomials: Multiplying Polynomials]

B6-04 [Polynomials: Expanding Three or More Brackets]

Polynomial Division

B6-05 [Polynomials: Polynomial Division using the Grid Method]

B6-06 [Polynomials: Polynomial Division using the Long Division Method]

B6-07 [Polynomials: Polynomial Division using the Inspection Method]

B6-08 [Polynomials: Polynomial Division using the Synthetic Method]

B6-09 [Polynomials: Examples of Polynomial Division]

B6-10 [Polynomials: EXTENSION Harder Examples of Polynomial Division]

The Factor Theorem

B6-11 [Polynomials: Introducing the Factor Theorem]

B6-12 [Polynomials: An Example of Using the Factor Theorem]

B6-13 [Polynomials: Solving Problems and Extending the Factor Theorem]

B6-14 [Polynomials: EXTENSION Proof of the Factor Theorem]

Simplifying Algebraic Fractions

B6-15 Rational Expressions: Basic Simplifying of Fractions

B6-16 Rational Expressions: Introducing Simplifying Algebraic Fractions

B6-17 Rational Expressions: Examples of Simplifying Algebraic Fractions

Adding and Subtracting Algebraic Fractions

B6-18 Rational Expressions: Basic Adding and Subtracting Fractions

B6-19 Rational Expressions: Examples of Adding / Subtracting Algebraic Fractions

Simplifying using Polynomial Division

B6-20 Rational Expressions: Simplifying using Polynomial Division