Factorising Quadratic Equations PDF

FACTORISING QUADRATIC EQUATIONS This is a step-by-step guide to factoring quadratic equations INTRODUCTION We will be showing a step by step guide on how to solve quadratic equations using the factorising method  STEP 1 Make sure your quadratic equation is in the standard f...

FACTORISING QUADRATIC EQUATIONS This is a step-by-step guide to factoring quadratic equations INTRODUCTION We will be showing a step by step guide on how to solve quadratic equations using the factorising method  STEP 1 Make sure your quadratic equation is in the standard form:  STEP 2 Find Two Numbers That Multiply to ac and Add to b 2 1x + 6x + 8 Multiply a and c to get ac Find 2 numbers that multiply to ac and add up to b (m and n)  STEP 3 Write the Equation with m and n and the place of bx 2 1x + 2x + 4x + 8 m n  STEP 4 Group the equation into two pairs 2 Factor each group: (1x + 2x) + (4x + 8) Factor out the greatest common factor from each group: x(1x + 2) + 4(1x + 2)  STEP 5 Factor out the Common Binomial x(1x + 2) + 4(1x + 2) Final Answer: (1x + 2) (1x + 4)  Checking your Answer You may expand your answer to ensure that you get the original quadratic expression  STEP 6 - Solving Once you have the factored form of the quadratic equation, set each factor equal to zero: 1x + 2=0 1x + 4=0 Final Answer: x= 0-2 = -2 x= 0-4 = -4