Thread: Polynomial Reduction Help

Reduce to lowest terms:


I don't see how this can be factored to be reduced. Thanks.
The answer is

Just to be sure, is that really for the second term in the denominator?

For the numerator:



You could use the rational roots theorem, which states that if the given polynomial has a rational root, it will come from the list . We can see that cannot work, hence we find:



So, we know is a factor of . Use of division finds:



Now, for the denominator, we should recognize the binomial coefficients arising from the cube of a binomial, i.e.:

and so we may state:

grillage - you are correct it is . Thanks for the help markFL2, I didn't know about the rational roots theorem, that will make working with polynomials a whole lot easier.