Why is factorising quadratics useful? Factorising gives roots (zeroes or solutions) of a quadratic It gives the x-intercepts when drawing the graph How do I factorise a monic quadratic of the form ...
Quadratic Functions & Graphs What are the key features of quadratic graphs? The value of a affects the shape of the curve If a is positive the shape is concave up ∪ If a is negative the shape i...
Equations of a Straight Line How do I find the gradient of a straight line? Find two points that the line passes through with coordinates (x1, y1) and (x2, y2) The gradient between these two points...
How can I write a system of linear equations? To save space we can just write the coefficients without the variables What is a row reduced system of linear equations? A system of linear equations i...
What are systems of linear equations? A linear equation is an equation of the first order (degree 1) This means that the maximum degree of each term is 1 These are examples of linear equations: 2x ...
How do I find the square root of a complex number? The square roots of a complex number will themselves be complex: How do I use de Moivre’s Theorem to find roots of a complex number? De Moivre’s T...
What is De Moivre’s Theorem? De Moivre’s theorem can be used to find powers of complex numbers How do I use de Moivre’s Theorem to raise a complex number to a power? If a complex number is in Carte...
What are complex roots? A quadratic equation can either have two real roots (zeros), a repeated real root or no real roots This depends on the location of the graph of the quadratic with respect to...
How do I write a complex number in modulus-argument (polar) form? How do I multiply complex numbers in modulus-argument (polar) form? The main benefit of writing complex numbers in modulus-argument...
