Cubic equations
Cubic equations Acubicequationhastheform ax3 +bx2 +cx+d =0 wherea =0 Allcubicequationshaveeitheronerealroot,orthreerealroots. Inthisunitweexplorewhy thisisso. Then we look at how cubic equations can be solvedby spotting factors andusing a …
Download Cubic equations
Information
Domain:
Source:
Link to this page:
Documents from same domain
Title: Simultaneous equations and the method of …
www.mash.dept.shef.ac.ukC. Leech, Coventry University, June 2000. MATHEMATICS SUPPORT CENTRE Title: Simultaneous equations and the method of substitution. Target: On completion of this worksheet you should be able to solve
Polynomial division - University of Sheffield
www.mash.dept.shef.ac.ukPolynomial division In order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes this process.
SUPPORT CENTRE - University of Sheffield
www.mash.dept.shef.ac.ukMATHEMATICS SUPPORT CENTRE Title: Simple Index numbers Target: On completion of this worksheet you should be able to calculate simple index numbers, and a weighted index.
Partial fractions - University of Sheffield
www.mash.dept.shef.ac.ukPartial fractions Analgebraicfractionsuchas 3x+5 2x2 −5x−3 canoftenbebrokendownintosimplerpartscalled partialfractions. Specifically 3x+5 2x2 −5x−3 2 x−3 1 ...
cos x bsin x Rcos(x α - University of Sheffield
www.mash.dept.shef.ac.ukKey Point acosx+bsinx canbewrittenas Rcos(x−α) where R = a2 +b2, tanα = b a Thisisaveryusefultooltohaveatone’sdisposal. Itreducesthesumoftwotrigonometric ...
A26 MATHEMATICS SUPPORT CENTRE
www.mash.dept.shef.ac.ukMathematics Support Centre,Coventry University, 2001 MATHEMATICS SUPPORT CENTRE Title: Remainder Theorem and Factor Theorem Target: On completion of this worksheet you should be able to use the remainder and factor theorems to find factors of polynomials.
Deciding on appropriate statistical methods for your …
www.mash.dept.shef.ac.ukDeciding on appropriate statistical methods for your research: What is your research question? Which variables will help you answer your research question and which is the dependent variable? What type of variables are they? Which statistical test is most appropriate? Should a parametric or non-parametric test be used?
Variance and standard deviation (grouped data)
www.mash.dept.shef.ac.ukStandard deviation = √ 138.727 =11.78 Exercises Find an estimate of the standard deviation of the following: 1. a) Lifetime Frequency b) Income Frequency c) House Frequency (hours) of (1000’s £) prices components (1000’s £) 300 ≤ l<400 13 10 ≤ i<15 9 40 ≤ p<60 5 400 ≤ l<500 25 15 ≤ i<20 16 60 ≤ p<80 9 500 ≤ l<600 66 20 ≤ ...
Related documents
Cubic equations - mathcentre.ac.uk
www.mathcentre.ac.ukCubic equations mc-TY-cubicequations-2009-1 A cubic equation has the form ax3 +bx2 +cx+d = 0 where a 6= 0 All cubic equations have either one real root, or three real roots. In this unit we explore why this