AS PURE MATHS REVISION NOTES
www.mathsbox.org.uk AS PURE MATHS REVISION NOTES 1 SURDS • √A root such as 3 that cannot be written exactly as a fraction is IRRATIONAL
Download AS PURE MATHS REVISION NOTES
Information
Domain:
Source:
Link to this page:
Documents from same domain
Mechanics 1 - Mathsbox
www.mathsbox.org.ukMechanics 1 – Revision notes 1. Kinematics in one and two dimensions EQUATIONS FOR CONSTANT ACCELERATION ARE NOT GIVEN – Learn Them! • Always list the variables you have - write down the equation you intend to use.
CORE 2 Summary Notes - Mathsbox
www.mathsbox.org.ukREFLECTING y = -f(x) Reflection in the x-axis, replace y with –y Reflection in the y-axis, replace x with – x STRETCHING Stretch of factor k in the x direction replace x by
Further Pure 1 - Mathsbox
www.mathsbox.org.ukFurther Pure 1 Summary Notes 1. Roots of Quadratic Equations For a quadratic equation ax2 + bx + c = 0 with roots α and β Sum of the roots Product of …
AQA STATISTICS 1 REVISION NOTES - Mathsbox
www.mathsbox.org.ukBINOMIAL DISTRIBUTION q A question is binomial if: • Probability of an event happening is given (p) • Number of people/trials/objects chosen given (n) q EQUALS or EXACTLY use the formula P(x=r)
DECISION 1 Revision Notes
www.mathsbox.org.ukwww.mathsbox.org.uk DECISION 1 Revision Notes 1. Sorting (assuming sorting into ascending order) a) BUBBLE SORT b) SHUTTLE SORT Step 1 Compare first two numbers. If the smaller number is on the right,
AS PURE MATHS REVISION NOTES
www.mathsbox.org.uk11 BINOMIAL EXPANSIONS Permutations and Combinations • The number of ways of arranging n distinct objects in a line is n! = n(n - 1)(n - 2)….3 × 2 × 1 • The number of ways of arranging a selection of r object from n is n P r = ! ( − )!
A LEVEL PURE MATHS REVISON NOTES
www.mathsbox.org.ukA LEVEL PURE MATHS REVISON NOTES 1 ALGEBRA AND FUNCTIONS a) INDICES ... • A polynomial is an expression which can be written in the form axn + bxn-1 + cxn-2 + … where a,b, c are constants and n is a positive integer. • The order of the polynomial is the highest power of x in the polynomial
Related documents
Chapter 12 Polynomial Regression Models - IIT …
home.iitk.ac.inThe order of the polynomial model is kept as low as possible. Some transformations can be used to keep the model to be of first order. If this is not satisfactory, then second order polynomial is tried.
SECTION 2.5: FINDING ZEROS OF POLYNOMIAL …
www.kkuniyuk.com2.46 SECTION 2.5: FINDING ZEROS OF POLYNOMIAL FUNCTIONS Assume fx() is a nonconstant polynomial with real coefficients written in standard form. PART A: TECHNIQUES WE HAVE ALREADY SEEN Refer to: Notes 1.31 to …
Simplifying Variable Expressions - Kuta Software LLC
www.kutasoftware.com©w 02 c0A1j1 j FKvu NtqaM JS8o xf WtuwVaDr Ye T mLPLVCc.a g GArl Dl O xrli RgLh 9tSs V urLemsMeNrRvqeOdg.H v EMRa6dzeB iw 4iEtAhc 1I7n cfyimnZiGtJem TPVrOe1- UAHlxg we1brUaE.K Worksheet by Kuta Software LLC
Cubic equations
www.mash.dept.shef.ac.ukCubic equations Acubicequationhastheform ax3 +bx2 +cx+d =0 wherea =0 Allcubicequationshaveeitheronerealroot,orthreerealroots. Inthisunitweexplorewhy thisisso. Then …
Polynomial division - University of Sheffield
www.mash.dept.shef.ac.uk3. Polynomial division We now do the same process with algebra. Example Suppose we wish to find 27x3 +9x2 − 3x −10 3x−2 The calculation is set out as we did before for long division of numbers:
Introduction - UCONN
www.math.uconn.eduTHE MINIMAL POLYNOMIAL AND SOME APPLICATIONS 3 (See the proof of Theorem 2.2.) The converse is false: if all the eigenvalues of an operator are in F this does not necessarily mean the operator is diagonalizable.
Polynomial functions - Mathematics resources
www.mathcentre.ac.uk1. Introduction A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x.
HYPERBOLIC DENOMINATOR POLYNOMIAL OF …
www.pspchv.comVolume 3, Issue 1, Pages 143-144 (September 2011) HYPERBOLIC DENOMINATOR POLYNOMIAL OF TYPE ( 2, 5, 6) Tadayoshi Takebayashi …