# S4_3_Quadratic_Equations_Ch8 - Algebraic Operations S4...

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www.mathsrevision.com S4 Credit Algebraic Operations Algebraic Operations Introduction to Quadratic Equation Summary of Factorising Methods Factorising Trinomials (Quadratics) Real-life Problems on Quadratics Feb 13, 2012 Feb 13, 2012 Created by Mr. [email protected] Created by Mr. [email protected] Finding roots by factorising and formula Exam Type Questions

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Feb 13, 2012 Feb 13, 2012 Starter Questions Starter Questions www.mathsrevision.com Q1. Remove the brackets (a) y(4y – 3x) = (b) (x + 5)(x - 5) =  Q2. For the line  y = -x + 5 , find the gradient and where it cuts the y axis. S4 Credit Created by Mr. [email protected] Created by Mr. [email protected] Q3. Find the highest common factor for p 2 q and pq 2 .
13 Feb 2012 13 Feb 2012 Created by Mr. [email protected] Created by Mr. [email protected] Learning Intention Learning Intention Success Criteria Success Criteria 1. 1. To be able to identify the three methods  To be able to identify the three methods  of factorising. of factorising. 1. To review the three basic methods  for factorising. 2. 2. Apply knowledge to problems. Apply knowledge to problems. www.mathsrevision.com Factorising Factorising Methods S4 Credit

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13 Feb 2012 13 Feb 2012 Created by Mr. [email protected] Created by Mr. [email protected] www.mathsrevision.com Summary of Factorising When we are asked to factorise there is  priority  we must do it in. 1.   Take any common factors out and put them   outside the brackets. 2. Check for the difference of two squares. 3. Factorise any quadratic expression left. S4 Credit
13 Feb 2012 13 Feb 2012 Created by Mr. [email protected] Created by Mr. [email protected] www.mathsrevision.com Common Factor Factorise the following : (a)  4xy – 2x (b) y 2  - y 2x(y – 1) y(y – 1) S4 Credit

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13 Feb 2012 13 Feb 2012 Created by Mr. [email protected] Created by Mr. [email protected] www.mathsrevision.com When we have the special case that an  expression is made up of  the difference of two squares  then it is simple to factorise The format for the difference of two squares a 2  – b 2 First  square term Second square term Difference Difference of  Two Squares S4 Credit
13 Feb 2012 13 Feb 2012 Created by Mr. [email protected] Created by Mr. [email protected] www.mathsrevision.com a 2  – b 2 First  square term Second square term Difference This factorises to  ( a + b )( a – b ) Two brackets the same except for + and a -  Check by multiplying out the  bracket to get back to where  you started Difference of  Two Squares S4 Credit

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13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Created by Mr. Lafferty www.mathsrevision.com Keypoints Format  a 2
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