AQA Certificate Level 2 Further Mathematics: Algebra Session 1

2.1 The basic processes of algebra.

2.2 Definition of a function.

2.3 Domain and range of a function.

2.4 Composite functions.

2.5 Inverse functions.

2.6 Expanding brackets and collecting like

terms.

2.7 Expand (a + b)^{n} for positive integer n.

2.8 Factorising.

2.9 Manipulation of rational expressions:

Use of + – × ÷ for algebraic fractions with

denominators being numeric, linear or

quadratic.

2.10 Use and manipulation of formulae and

expressions.

2.11 Use of the factor theorem for rational

values of the variable for polynomials.

2.12 Completing the square.

2.13 Drawing and sketching of functions

Interpretation of graphs.

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