Basically what I need is an explenation and the steps to solve two different types of factoring problems.
I could care less about the answer, I have it in the back of the sheet anyway.
1. x^3 - 6x^2 + 11x - 6 = 0
2. 4(x^3/2)(y^2/3) + 18(x^1/2)(y^5/3)
Once again I need the steps for the first one, to help factor that kind, and the explenation with the fraction factoring.
The rational root theorem tells us that any rational root of a polynomial is a
+/- a factor of the constant term divided by +/- a factor of the coeficient of the highest power.
So in this case the rational root theorem tells us that any rational roots
of this cubic are amoung 1, -1, 2, -2, 3, -3.
Try in gives , so is a factor of .
Now dividing by gives:
and the last term can be factored by inspection, or finding the roots using
the quadratic formula or the same procedure as before to get:
RonL