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...
Area between 2 curves What is the area between two curves? Ensure you are familiar with … Area under a curve Area between a line and a curve In general find the definite integral of “upper curve” –...
Area between a curve and a line What is the area between a curve and a straight line? This is the area enclosed by a curve and a line between their?intersections The intersections may need to be fo...
