Robert J. answered • 11/05/12

Certified High School AP Calculus and Physics Teacher

If a polynomial can be factorized easily, then factor it out. You have a lot of tools to do that such as factor theorem, rational root theorem, synthetic division etc. .

But if a polynomial is not factorable, then you have to use some numerical method to find its zeros. For example, you can use Newton's method.

Furthermore, if you want to find real and complex zeros, then it is way more complicated.

Specific question: Is f(x) = x^4 + 4a^4 factorable?

Kevin S.

Rizul -

For clarification, x

^{2}+2x+2 does not factor to (x+1)(x+2), but x^{2}+3x+2 does.11/06/12