The easiest way to solve a cubic equation is to use either grouping or factoring. Here is an example:
Solve x3 + 12x2 − 9x − 108=0 by grouping.
(x3 + 12x2) + (−9x − 108) =0 In this step, group 2 pairs of terms.
x2 (x + 12) +(−9) (x −12)=0 Factor out the common term in each group. x2 and (−9)
(x+12) (x2 −9) = 0 Factor out the common term again (x+12).
(x+3) (x−3) (x+12)=0 Factor difference of perfect square.
The roots to this equation are −3, 3, −12.
To find the cu...
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