Factorising Quadratics Wendy’s Way

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Presentation transcript:

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

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 12x2 + 26x + 10

12x2 + 26x +10 26 (6x + 10)(2x + 1) 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 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)