Factorization

6x^2+5x-6
=6x^2+9x-4x-6
=(6x^2+9x)-(4x+6)
=3x(2x+3)-2(2x+3)
=(3x-2)(2x+3)

Ｍｅｔｈｏｄ　１ (cross method)

3x ＼／ - 2
2x ／＼ 3
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9x(3x times 3)-4x(2x times -2) = +5x

Therefore, the solution is (3x-2)(2x+3)
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2012-07-22 00:30:18 補充：
Method 2

6x^2+5x-6
=6x^2+9x-4x-6
=(6x^2+9x)-(4x+6)
=3x(2x+3)-2(2x+3)
=(3x-2)(2x+3)
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Although I've also teach you method 2, but method 1 is recommend. But if haven't learned cross-method, than use method 2

6x² + 5x - 6 = (2x - 3)(3x + 2)