1. Factorising Quadratics Wendy’s Way
Factorise
6x2 + 25x  9
First
Last  6 9
=54

2. Now try to Factorise 12x2 + 26x + 10
1 54
2 27
3 18
6 9
Find combination to give
Write Factors of 54
+25
27  2
Split expression into 2 parts
6x2 +27x  2x  9
Factorise each part
3x(2x+9)  1(2x+9)
This gives the factors
(3x  1)(2x + 9)
Now try to Factorise x2 + 26x + 10

3. 12x2 + 26x +10 26 (6x + 10)(2x + 1) First  Last 12  10 = 120
Factors of 120
1   60
3   30
5   20
8   12
Find factors which give 26
And split expression
12x2 + 6x x + 10
Factorise
6x(2x + 1) + 10(2x + 1)
(6x + 10)(2x + 1)

4. Now try these 6x2 + 5x - 6 6x2 - 17x - 14 6  6 = 36 6  14 = 84
1  84
2  24
3  28
4  21
6  14
7  12
1  36
2  18
3  12
4  9
6  6
9 - 4 = 5
4  21 =  17
6x2 + 9x  4x  6
3x(2x + 3)  2(2x + 3)
(3x  2)(2x + 3)
6x2 +4x  21x  14
2x(3x + 2)  7(3x + 2)
(2x  7)(3x + 2)