SOLUTION: 12a^3-9a^2+4a-3 Please show step by step on how problem is solved thanks!!!

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Question 702195: 12a^3-9a^2+4a-3
Please show step by step on how problem is solved thanks!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
12a^3 - 9a^2 + 4a - 3
3a^2(4a - 3)+ 1(4a - 3)
Factor out (4a - 3)
(4a - 3)(3a^2 + 1)
One real root
4a = 3
a = 3/4
Imaginary roots
3a^2 = -1
a^2 = -1/3
a = +/- i%2Asqrt%281%2F3%29