General Binomial Expansion What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other types of powers too Th...
Further Modelling with Functions How do I solve modelling problems? There will be no one-size-fits-all step-by-step guide to solving modelling questions A combination of skills and problem-solving ...
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...
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...
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...
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...
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...
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 ...
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...
