Wendy`s way version 2
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Transcript Wendy`s way version 2
Factorising Quadratics
Wendy’s Way
Factorise
6x2 + 25x 9
First
6
=54
Last
9
6x2 +25x - 9
Write Factors of 54
1
54
2
27
3
18
6
9
Find combination to give
+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
12x2 + 26x + 10
12x2 + 26x +10
First Last
12 10
= 120
Factors of 120
1 120
2 60
3 40
4 30
5 24
6 20
8 15
10 12
Find factors which give 26
And split expression
12x2 + 6x + 20x + 10
Factorise
6x(2x + 1) + 10(2x + 1)
(6x + 10)(2x + 1)
Now try these
6x2 + 5x - 6
6 6 = 36
1 36
2 18
3 12
49
66
9-4=5
6x2 + 9x 4x 6
3x(2x + 3) 2(2x + 3)
(3x 2)(2x + 3)
6x2 - 17x - 14
6 14 = 84
1 84
2 24
3 28
4 21
6 14
7 12
4 21 = 17
6x2 +4x 21x 14
2x(3x + 2) 7(3x + 2)
(2x 7)(3x + 2)