Factorising Study guides, Revision notes & Summaries

Detailed and comprehensive notes on cubics FEATURES - cubic graph transformations - sketching cubic graphs with steps - using CAS - factorising cubics - set notation - finding cubic rules

8.2 Quadratic equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.2 Quadratic equations • Quadratic equations have at least one term with a variable that is squared, e.g. x2 . • Roots mean solutions. There can be zero, one or two solutions to any quadratic equation. TIP These two techniques may be useful when solving quadratic equations: • taking out a common factor, e.g. • applying the ‘difference of two squares’ identity, e.g. . Exercise 1 1 Solve to fi...

Simplification (opposite of factorising) definition and explanation aswell as examples.

Base The number that is going to be raised to a power. Exponent The number that is used as a reference for the power Add the powers Multiplying numbers with powers - rule Subtract the powers Dividing numbers with powers - rule Multiply the powers Multiplying numbers with brackets - rule aⁿbⁿ (ab)ⁿ = 1 x⁰ = 1ⁿ = x x¹ (m√a)ⁿ a^n÷m a⁻ⁿ 1÷aⁿ Linear factorising Creates one bracket. E.g. 6x+2 = 2(3...

In this document there are notes and worked examples for matrices, factorising equations, sequences and series, endless fractions, using the quadratic formula, looking at nature of roots, and cubics. Best of luck! xx

Quadratic equation Written as ax²+bx+c=0 where a, b, c and constants. Has 0-2 solutions Roots - The solutions to an equation - The values of x for which f(x)=0 - Find by factorising x Completing the square x²+bx = (x+b÷2)²-(b÷2)² Completing the square when a≠1 - Factorise as much as possible - Otherwise keep a outside the brackets Completing the square when a≠1 - method 2x²-12x = 2(x²-6x) = 2((x-3)²-3²) Complete the square = 2((x-3)²-9) Simpl...

This document has worked examples on complex numbers and all the relevant workings and explanations of them. Good luck!!! xxx

Different version of the factorising

Level 3 Technical Level IT: PROGRAMMING Y/507/6469 Unit 5 Mathematics for programmers Mark scheme June 2019 Version: 1.0 Final *196AY/MS* MARK SCHEME – LEVEL 3 TECHNICAL IT: MATHEMATICS FOR PROGRAMMERS Y/507/6469 – JUNE 2019 2 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in ...

Understanding the the importance of Algebra and values in our daily life and also for connecting the practical life problem with Algebra.