PPT-Factorising

large image datasets John Ashburner Principal Component Analysis Need to reduce dimensions for data mining R educed feature set that explains as much of the data as possible PCA can be optimised. Factorisingquadratics Youwill64257ndthatyouareexpectedtobeabletofactoriseexpr essionssuchas 5 6 Firstofallnotethatbyremovingthebracketsfrom 2 3 we64257nd 2 3 2 3 6 5 6 Whenwe factorise 5 6 wearelookingfortheanswer 2 3 Itisoftenconve 6 Factorising quadratics Introduction On this lea64258et we explain the procedure for factorising quadratic expressions such as 5 6 1 Factorising quadratics You will 64257nd that you are expected to be able ike many processes in mathematics it is useful to be able to go the other wayThat is starting with the quadratic expression 5 6 can we carry out a process which will result in the form 2 3 This process is called factorising the quadratic express There is a special case of quadratic expression known as the di64256erence of two squares This lea64258et explains what this means and how such expressions are factorised What is meant by the difference of two squares A typical example of a quadra Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. Factorising Quadratics. Dr J Frost (jfrost@tiffin.kingston.sch.uk). www.drfrostmaths.com. . Last modified: . 30. th. September . 2015. Factorising means : . . To turn an expression into a . product. Factorising into . single brackets. Grade . 2. Factorise. the following expression.. 4x. + 6. Common Number. Common Letter (s). 2. -. 2. (. 2x. + 3. ). Put the common parts outside the bracket. Factorising into single brackets. 2.2 . Factorising. using common factors . WATCH THE LESSON PATH ON THE WEEBLY UNDER FACTORISING OR/AND READ THROUGH THIS POWERPOINT . (the videos that work through the same concepts as in this . powerpoint. Factorising. Dr J Frost (jfrost@tiffin.kingston.sch.uk). Last modified: . 18. th. . February 2014. Objectives: . Be able to factorise a single term out of a bracket.. What does the factor of a number mean?. Obj. : . Revise simplifying and. factorising linear . expressions. a, . expand brackets. .. m, . Factorise using integer factors. .. s, . Factorise using terms as factors. .. Starter. All. Most. Some. Factorising (add brackets). This is the inverse (opposite) of expanding brackets 2x(3x + 1) = . 6x. ² . + 2x. 2 terms. Example 1: . Factorise completely . . 4x. 2. + 12x . Method: HCF. 4x. ² . Factorising into . single brackets. Grade . 2. Factorise. the following expression.. 4x. + 6. Common Number. Common Letter (s). 2. -. 2. (. 2x. + 3. ). Put the common parts outside the bracket. Factorising into single brackets. Where do you think it was taken?. Maths Vegas. Each group starts with £50. Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question will be.. 1. Factorise the quadratic:. x. 2. 4. x. 3. 1. Find two numbers that add to give 4 and multiply to give 3.. 3 and 1. (. x. . . . 3)(. x. . 1). But what if you want to factorise . 3. x. 2.