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 or not. Here is …

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 · If you're asking about factoring polynomials then "factoring ovr the real numbers" means that the factors should be polynomials all of whose coefficients are real. If you're asking about …

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 serious …

Jul 4, 2019 · If we denote the polynomial by P(x) P (x), we produce the following candidate factorization equations: one is factorization to a linear term and cubic term, i.e.

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 ...

May 29, 2016 · Question: A polynomial is given. $ (a)$ Factor it into linear and irreducible quadratic factors with real coefficients. $ (b)$ Factor it completely into linear factors with complex coefficients.

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 polynomials and …

Jun 29, 2016 · All the solutions on the internet and here about factorizing third degree polynomial are about specific case/obvious solutions and does not give a clear method like the method to factorize a …

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) has the …