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Pure Maths: Algebra

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Familiarise students with some of the algebra needed for Pure Maths A Level in this unit. The chapters cover: polynomial functions, sequences and series 1, sequences and series 2: bionomial expansions, and rational functions. Detailed contents: 6 POLYNOMIAL FUNCTIONS Addition, subtraction and multiplication Factorising and the factor theorem Polynomial equations and inequalities Cubic functions 11 SEQUENCES AND SERIES 1 Sequences and series Notation, formulae and definitions Arithmetic sequences and series Geometric sequences and series Sum to infinity of a geometric series 14 SEQUENCES AND SERIES 2: BINOMIAL EXPANSIONS Binomial expansion of (a + b)n Pascal's triangle, binomial coefficients Binomial series (1 + x)n (1 + x)n For positive integer n Binomial series for rational indices 23 RATIONAL FUNCTIONS Rational functions and their graphs Asymptotes Partial fractions Power series for an algebraic function Using the binomial expansion * Download all the answers to the Pure Maths Topics once -- all answers are contained in the Pure Maths Answers PDF * Build confidence through hundreds of questions at the right level. * Ensure students are fully prepared for their exams with extensive practice exercises, worked examples and full A-level examination questions. * Promote understanding through consolidation exercises at the end of each topic. * Challenge and broaden your students' minds with new interpretations of traditional topics in Pure Mathematics.