Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Direct proportion one variable ...
Solving Equations Graphically Solving (simultaneous) equations graphically This is a way to solve?simultaneous?equations?(see Simultaneous Equations) Coordinates of the?intersections?are the...
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? ...
