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Factor Completely 8x^2-6x-9

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1 Answer

Use quadratic formula to find roots of the equation 8x2-6x-9=0.

x1,2=[-(-6)±√((-6)2-4*8*(-9))]/16; x1,2=[6±√(36+288)]/16; x1=-3/4; x2=3/2

Thus, the trinomial 8x2-6x-9 can be factored as follows: 8x2-6x-9=8*(x+¾)*(x-3/2)=(4x+3)*(2x-3)