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  1. What does it mean to factor over the real numbers?

    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 …

  2. How to factor a four term polynomial without grouping?

    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 …

  3. factoring - How to factorize polynomials to the 5th degree ...

    Dec 3, 2017 · Every now and then, you find a polynomial of higher degree that can be factored by inspection. In this case, there's a way to just "see" one step of the factorization:

  4. Factor $x^5+x^2+1$ into irreducible polynomials in $Z [x]$

    Then the polynomial is given by $1+1+1=3=1 \mod 2$ which is irreducible (not sure if I have the right to say that). And if $x$ is even, then $x^5$ and $x^2$ are even too.

  5. What is a real world application of polynomial factoring?

    12 You need polynomial factoring (or what's the same, root finding) for higher mathematics. For example, when you are looking for the eigenvalues of a matrix, they appear as the roots of a …

  6. Factoring a 5 term polynomial - Mathematics Stack Exchange

    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 …

  7. How can I find a common factor of two polynomials?

    Right. So I'm trying to apply find the limit tending to 1 of the aforementioned polynomials divided but that tends to 0/0. Which means I need to simplify the polynomials before I can find the limit …

  8. abstract algebra - How to factor polynomials in $\mathbb {Z}_n ...

    How to factor polynomials in $\mathbb {Z}_n$? Ask Question Asked 10 years, 11 months ago Modified 10 years, 11 months ago

  9. Factorization of quartic polynomial. - Mathematics Stack Exchange

    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 ...

  10. Factoring a Cubic Polynomial - Mathematics Stack Exchange

    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/