Factor Completely 8x^2-6x-9

Question

Factor completely 8xsquared minus 6x-9

Answer 1

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

x_1,2=[-(-6)±√((-6)²-4*8*(-9))]/16; x_1,2=[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)