SOLUTION: Factor the following expression completely: {{{12x^3-18x^2+24x}}}. I have gotten to {{{6x(2x^2-3x+4)}}} but I'm unsure if it can be futher reduced
It cannot. Here is how to tell:
can be factored if and only if the disriminant
is a perfect square.
Consider as
so that , , and
Then calculate the discriminant using the formula:
Since -22 is not a perfect square,
cannot be factored.
Edwin