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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...
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...
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 ...
Modulus Functions - Sketching Graphs Modulus functions The modulus function makes any ‘input’ positive |x| = x if x ≥ 0 |f(x)| = f(x) if f(x) ≥ 0 |x| = -x if x < 0 |f(x)| = -f(x) if f(...
Modelling with Volumes of Revolution What is meant by modelling with volumes of revolution? Many every day objects such as buckets, beakers, vases and lamp shades can be modelled as a solid of rev...
Adding and Subtracting Volumes Why might I need to add or subtract volumes of revolution? As with the area between a curve and a line or the area between 2 curves, a required volume may be created...
Volumes of revolution around the x-axis What is a volume of revolution around the x-axis? A volume of revolution is the volume of this solid formed How do I find the volume of revolution around the...
