factorising quadratics wendy’s way factorise 6x 2 + 25x 9 firstlast 69 =54
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Factorising QuadraticsWendy’s Way
Factorise
6x2 + 25x 9
First Last
6 9
=54
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 +10First Last
12 10
= 120
Factors of 120
1 120 2 60
3 40 4 30
5 24 6 20
8 1510 12
Find factors which give 26
12x2 + 6x + 20x + 10And split expression
Factorise6x(2x + 1) + 10(2x + 1)
(6x + 10)(2x + 1)
Now try these
6x2 + 5x - 6
6 6 = 361 362 183 124 96 69 - 4 = 5
6x2 + 9x 4x 63x(2x + 3) 2(2x + 3)
(3x 2)(2x + 3)
6x2 - 17x - 14
6 14 = 841 842 243 284 216 147 12
4 21 = 176x2 +4x 21x 14
2x(3x + 2) 7(3x + 2)(2x 7)(3x + 2)
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