The way to factor a four-term polynomial like this is to apply Rational Root Theorem along with synthetic division or substitution to determine whether a rational root works for the polynomial …

I've been trying to understand how ${x^3-12x+9}$ factors to $(x-3) (x^2+3 x-3)$ What factoring rule does this follow? The net result seems to be similar to what is attained through the sum/

Jan 6, 2019 · On Michael Wang's comment concerning the factoring over the polynomial 2x^4-5x^3-4x^2+15x-6, I checked over his comment and found that his factoring the polynomial …

Jul 4, 2019 · How to factor a fourth degree polynomial Ask Question Asked 6 years, 5 months ago Modified 6 years, 5 months ago

When factoring any polynomial, it's generally agreed upon (at least in my math class) that all the factors you get are equal to $0$ (When you solve). I haven't really been able to myself build a …

Jan 3, 2017 · I want to know other ways of factorization to get quadratic factors in this polynomial: $$x^4+2x^3+3x^2+2x-3$$ Thanks in advance for your suggestions. The original ...

Feb 28, 2016 · Proceed to factor the polynomial to find the other non-rational roots. I note that if you allow complex roots that are with many cube roots and other radicals, then all cubic …

Apr 21, 2015 · This particular polynomial yields to a trick for finding square-free factors. One takes the derivative of the polynomial $4n^3 + 12n^2 + 16n + 8$, and computes the greatest …

There are algorithms for factoring univariate polynomials with integer coefficients like the Zassenhaus algorithm. It reduces the problem modulo small primes and then uses Hensel …

Jan 7, 2016 · One can make some general statements in the real case, e.g., for a real polynomial, nonreal roots come in conjugate pairs, and so the number of real roots (counting multiplicity) …