PPT-Factorising quadratics where a ≠ 1

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. 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 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 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. 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?. 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. 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. Richardson 423. Math 2. Quadratics: What’s the big deal?. In this chapter of Math 2 we will be covering Quadratics. In the previous lesson we learned to quantify groups of terms, exponents, and multiple variable problems.. 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.. Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. 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. Take out: . HW. Packet. Quiz from . fri. . SWBAT: Solving quadratics by completing the square . -8. -8. 2(x-2). 2. = -12. 2. 2. (x-2). 2. = -6.  . x-2 = ±. i.  . +2. +2. x = 2 ± . i.  . SWBAT: Solving quadratics by completing the square .