# How are the general skills for complete factorization of arbitrary homogeneous order polynomials in $\mathbb{C}$?

How are the general skills for complete factorization of arbitrary homogeneous order polynomials in $\mathbb{C}$ ?

For example:

$1.$ $a^2+b^2+c^2$

$2.$ $a^2+b^2-c^2$

$3.$ $a^2+b^2+c^2+d^2$

$4.$ $a^2+b^2+c^2-d^2$

$5.$ $pa^2+qb^2+rc^2$ , where $p,q,r$ are non-zero constants

$6.$ $pa^2+qb^2+rc^2+sd^2$ , where $p,q,r,s$ are non-zero constants

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What do you mean by "how are the general skills"? –  Greg Martin Dec 28 '13 at 18:09
@GregMartin, I think it is similar to meeting someone you know who is married, and you say "How are the children?" to be polite. –  Will Jagy Dec 28 '13 at 21:00
@GregMartin, I mean the general method or procedure. –  doraemonpaul Dec 29 '13 at 4:00