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On this page you will find a complete set of lesson notes for the A Level Maths syllabus as taught from September 2017. These notes are lessons delivered by myself to my own students so if you have missed any lessons or just feel the need to brush up, please take a look.
Factorising – identifying the roots of the equation ax2 + bx + c = 0. Look for the difference of 2 squares x2 – a2 = (x + a)(x – a) or (ax)2 - b2 = (ax + b)( ax – b) Look for the perfect square x2 + 2ax + a2 = (x + a)2. Look out for equations which can be transformed into quadratic equations. Solve.
24 mar 2023 · Cambridge International AS and A Level Mathematics (9709) Notes. PapaCambridge provides Cambridge International AS and A Level Mathematics (9709) Notes and Resources that includes topical notes, unit wise notes, quick revision notes, detailed notes and a lot more.
AS PURE MATHS REVISION NOTES. 1 SURDS. • A root such as √3 that cannot be written exactly as a fraction is IRRATIONAL • An expression that involves irrational roots is in SURD FORM e.g. 2√3 • 3 + √2 and 3 - √2 are CONJUGATE/COMPLEMENTARY surds – needed to rationalise the denominator. SIMPLIFYING.
What is a polynomial? A polynomial is an algebraic expression consisting of a. nite number of terms, with non-negative integer indices only. What is polynomial division? Polynomial division is a method for splitting polynomials into factor pairs (with or without an accompanying remainder term)
Supercharge your AS Level Math studies with Mega Lecture’s FREE downloadable AS Level Math notes and worksheets. Master complex concepts and sharpen your problem-solving skills with comprehensive resources tailored to help you excel in your exams.
Chapter 1: Quadratics 1.1 Solving quadratic equations by factorisation You already know the factorisation method and the quadratic formula method to solve quadratic equations algebraically. This section consolidates and builds on your previous work on solving quadratic equations by factorisation.
