Reciprocal Graphs - Sketching What are reciprocal graphs? Reciprocal graphs involve equations with an term on the denominator e.g. There are two basic reciprocal graphs to know for A level The seco...
Sketching Polynomials Sketching the graph of a polynomial Remember a polynomial is any finite function with non-negative indices, that could mean a quadratic, cubic, quartic or higher power ...
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...
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? ...
Expanding Brackets What do I need to know about expanding brackets? To expand brackets, the rule is that each term in one set of brackets must be multiplied by each term in the other set of bracket...
Inequalities on Graphs Inequalities on graphs Inequalities can be represented on graphs by shaded regions and dotted or solid lines These inequalities have two variables, x and y Several inequaliti...
