SOLUTION: Please factorise the following (Please do not use the quadratic formula) 36x squared -7x-4 Thank you.

Question 360349: Please factorise the following (Please do not use the quadratic formula)
36x squared -7x-4

Thank you.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
36x^2 - 7x - 4
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It will be (ax + b)*(cx + d)
a*c = 36
b*d = -4 (meaning the signs are different)
ad + bc = -7 (the odd number --> ad or bc, but not both are odd numbers.
--> a & d are both odd OR b & c are both odd
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You can make a table to cover all possibilities, or use the info above
36 = 1*36
2*18
3*12
4*9
6*6
----
4 = 1*4 or 2*2
Try combinations:
(3x + 2)*(12x - 2) doesn't work, no odd numbered products.
(3x + 4)*(x - 4) --> -3x not -7x
(4x + b)*(9x + d)
(4x + 1)*(9x - 4) works

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