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 What are the roots of this equation? 4, only2) and 13) and 4 4, , and 4A student correctly graphed the parabola shown below to solve a given quadratic equation. What are the roots of the quadratic 1. Find the solution(s): 2. Solve and graph the inequalities: 3. What model best fits the data: . f. (x) = x. 2. + 2x + 1 3 < x + 1 < 15. g. (x) = . Get out a clean sheet of paper. Write your name at the top. . This will be turned in. .. Solve each equation by completing the square.. . .  . 4.6 Quadratic Formula. What THREE methods have we used so far to solve quadratics?. 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 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.. Recall…. A quadratic equation is an equation/function of the form f(x) = ax. 2. + . bx. + c. Vertex Form. To facilitate an easier way to graph, we can look at the . vertex form. of a quadratic. Vertex. Quadratics in the Era of CCSS-M. Faylesha. Porter. Regeta Slaughter. Nicole . Yakes. Welcome!. Who Are We?. Place a sticky dot on the histogram indicating the number of years you have been teaching 8. Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. 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 .