When factored completely, identify the factors of the polynomial 12x^2-14x-6?

Question

2|(3x+1)|(2x+3)|3|(3x-1)|(2x-3)|

 

 

Thank you so much

 

 

Answer 1

for 12x^2-14x-6                    first divide by 2

2(6x^2-7x-3)                        now find the roots (since the middle value and the last value are negative one of the                                                         constants must be a negative. the factors of 6x^2 can be 1x and 6x or 2x and 3x                                                       and the factors of -3 can be 1- and 3 or -3 and 1. The only combination that will                                                           yeild the middle factor of -7x would be 2x, -3 and 3x, +1.

2(2x-3)(3x+1)