Quadratics as Guías de estudio, Notas de estudios & Resúmenes

Hi, this document comprises of the summary for the topic Quadratics and Functions in detail and also provides a few example questions to help you understand better. This is an AS level course. The course follows Cambridge Assessment International Education (CAIE) guidance.

Quadratic equation Written as ax²+bx+c=0 where a, b, c and constants. Has 0-2 solutions Roots - The solutions to an equation - The values of x for which f(x)=0 - Find by factorising x Completing the square x²+bx = (x+b÷2)²-(b÷2)² Completing the square when a≠1 - Factorise as much as possible - Otherwise keep a outside the brackets Completing the square when a≠1 - method 2x²-12x = 2(x²-6x) = 2((x-3)²-3²) Complete the square = 2((x-3)²-9) Simpl...

This PDF will enlighten you on the complete topics for the higher tier Edexcel Maths course. Consisting of 107 pages, the topics being discussed are as follows: -Expanding Brackets -nth term of a sequence -Pythagoras Theorem -Trigonometry -Simultaneous Equations -Factorising Quadratics when "a" is Not One -Factorising Equations/Expressions -Adding and Subtracting Fractions -Multiplying and Dividing Fractions -Simplifying Algebraic Questions -Standard Form -Percentage...

Natural Numbers The set of numbers 1, 2, 3, 4, ... Also called counting numbers. Integers The set of whole numbers and their opposites Z⁺ Z⁺₀ Rational Number set of all numbers that can be written as a fraction of two integers Q irrational numbers Numbers that can't be written as a fraction... examples √2 and π Universal Set A set that includes all the objects being discussed. - Ex: U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} Perfect Squares a...

For exams June 2012 onwards For certification June 2012 onwards AQA Level 2 Certificate in Further Mathematics Specification Level 2 Specification Level 2 Certificate in Further Mathematics 8360 Our specification is published on our website (). We will let centres know in writing about any changes to the specification. We will also publish changes on our website. The definitive version of our specification will always be the one on our website, this may differ from printed versions...

OBJECTIVES: 1) Graph functions on coordinate axes using their key features. 2) Interpret key features of the graph of a quadratic function. 3) Create quadratic functions in vertex form to represent relationships between variables as shown in their graphs. Part of the Quadratics set! (Note 2)

A-Level Mathematics, Year 1 Pure Mathematics (Full AS Pure Mathematics). Achieved A*. Includes the following topics: Algebraic Expressions, Quadratics, Equations and Inequalities, Graphs and Transformations, Straight Line Graphs, Circles, Algebraic Methods, The Binomial Expansion, Trigonometric Ratios, Trigonometric Identities and Equations, Vectors, Differentiation, Integration, and Exponentials and Logarithms

Summary Notes for Chapter 1 on Quadratics for AS level Mathematics (9709) covering: 1) how to carry out the process of completing the square for a quadratic polynomial ax^2 + bx + c and use a completed square form 2)how to find the discriminant of a quadratic polynomial ax^2 + bx + c and use the discriminant 3) how to solve quadratic equations, and quadratic inequalities, in one unknown by factorising, completing the square and using the formula. 4) how to solve by substitution a pair of ...

OBJECTIVES: 1) Graph functions on coordinate axes using their key features. 2) Interpret key features of the graph of a quadratic function. 3) Create quadratic functions in vertex or standard form to represent relationships between variables as shown in their graphs. Part of the Quadratics set! (Note 1)

These notes cover quadratics definitions (solutions, roots, zeros of a function, etc.), as well as guided instructions on how to solve using a formula( x= -b/2a) and a calculator. The calculator used was the Desmos Online Calculator, which you can find by using this link : I hope you find these notes helpful!