CIE A Level Maths: Pure 3复习笔记1.3.3 Quadratic Denominators
Quadratic Denominators What is meant by partial fractions with quadratic denominators? How do I find partial fractions involving quadratic denominators? STEP 1 Factorise the denominator a...
CIE A Level Maths: Pure 3复习笔记1.3.2 Squared Linear Denominators
Squared Linear Denominators Partial fractions In partial fractions the common denominator is split into parts (factors) This is the reverse process to adding (or subtracting) fractions In harder qu...
CIE A Level Maths: Pure 3复习笔记1.3.1 Linear Denominators
Linear Denominators What are partial fractions? This is the reverse process to adding (or subtracting) fractions When adding fractions a common denominator is required In partial fractions the comm...
CIE A Level Maths: Pure 3复习笔记1.2.5 Top Heavy Rational Expressions
Improper Algebraic Fractions What are top-heavy (improper) rational expressions (or algrbraic fractions)? The degree of the numerator is greater than or equal to the degree of the denominator How d...
CIE A Level Maths: Pure 3复习笔记1.2.4 Rational Expressions
Rational Expressions (Algebraic Fractions) What are rational expressions? Rational numbers are numbers that can be written as a fraction (quotient)Rational comes from ratio – a number is rational i...
CIE A Level Maths: Pure 3复习笔记1.2.3 Factorisation
Polynomial Factorisation What is polynomial factorisation? Factorising a polynomial combines the factor theorem with the method of polynomial division The goal is to break down a polynomial as far ...
CIE A Level Maths: Pure 3复习笔记1.2.2 Factor & Remainder Theorem
Factor Theorem What is the factor theorem? The factor theorem is a very useful result about polynomials A polynomial is an algebraic expression consisting of a finite number of terms, with non-nega...
CIE A Level Maths: Pure 3复习笔记1.2.1 Polynomial Division
Polynomial Division What is a polynomial? A polynomial is an algebraic expression consisting of a finite number of terms, with non-negative integer indices only What is polynomial division? Polynom...
CIE A Level Maths: Pure 3复习笔记1.1.2 Modulus Functions - Solving Equations
Modulus Functions - Solving Equations Modulus graphs and equations Two non-parallel straight-line graphs would intersect once If modulus involved there could be more than one intersection Deducing ...
