Search
Ask a question
0

Factor Completely 8x^2-6x-9

Factor completely 8xsquared minus 6x-9

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
0

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)