Factorising a Quadratic www mathsrevision com a b

Factorising a Quadratic www. mathsrevision. com a, b, c, method If a quadratic function factorises, we can ALWAYS use the same steps to factorise it Step 1 : identify a , b, c? - Standard form a = +1 12/4/2020 b = +5 c = +6 Created by Mr. Lafferty Maths Dept.

a = +1 b = +5 c = +6 Factorising a Quadratic www. mathsrevision. com a, b, c, method If a quadratic function factorises, we can ALWAYS use the same steps to factorise it Step 2 : Find 2 numbers that multiply ac = 6 add to give b = 5 +3 and +2 Step 3 : 12/4/2020 Rewrite the middle term Created by Mr. Lafferty Maths Dept. using the 2 numbers

Check ! a = +1 c = +6 Factorising a Quadratic ALWAYS left with the same brackets www. mathsrevision. com b = +5 a, b, c, method Step 4 : Factorise 1 st and 2 nd terms Step 5 : Factorise 3 rd and 4 th terms Step 6 : 12/4/2020 Take out common factor in brackets Created by Mr. Lafferty Maths Dept.

a, b, c, method Check ! Factorising a Quadratic www. mathsrevision. com The 6 steps of the a, b, c method 12/4/2020 ALWAYS left with the same of brackets factorising 1. Identify a, b, c 2. Find two numbers such that they multiply to give ac and add to give b 3. Rewrite middle term in terms of the two numbers in step 2. 4. Factorise 1 st and 2 nd terms 5. Factorise 3 rd and 4 th terms 6. Take out common factor ( the brackets) Created by Mr. Lafferty Maths Dept.

Factorising a Quadratic www. mathsrevision. com a, b, c, method Step 1 : identify a , b, c? a = +2 12/4/2020 b = +9 c = +4 Created by Mr. Lafferty Maths Dept.

a = +2 b = +9 c = +4 Factorising a Quadratic www. mathsrevision. com a, b, c, method If a quadratic function factorises, we can ALWAYS use the same steps to factorise it Step 2 : Find 2 numbers that multiply ac = 8 add to give b = 9 +8 and +1 Step 3 : 12/4/2020 Rewrite the middle term Created by Mr. Lafferty Maths Dept. using the 2 numbers

Check ! a = +2 c = +4 Factorising a Quadratic ALWAYS left with the same brackets www. mathsrevision. com b = +9 a, b, c, method Step 4 : Factorise 1 st and 2 nd terms Step 5 : Factorise 3 rd and 4 th terms Step 6 : 12/4/2020 Take out common factor in brackets Created by Mr. Lafferty Maths Dept.