Step-by-step explanation:
Factoring a polynomial is basically simplifying it by finding greatest common factors and writing it in a distributive property form
For example:
Factor [tex]9a^2b^3c+18a^3b^2c^4+3a^2b^4c^2[/tex]
3 is a greatest common factor in the numerical coefficient.
[tex]a^2[/tex] is a greatest common factor
[tex]b^2[/tex] is a greatest common factor
[tex]c[/tex] is a greatest common factor
You would write it as [tex]3a^2b^2c(3b+6ac^3+b^2c)[/tex]
If you meant like prime factorization, you just write a number as the product of prime numbers.
For example, 36 prime factorized is [tex]2*2*3*3[/tex] or [tex]2^2*3^3[/tex] because 4 and 9 aren't prime, so you need to factorize it further to 2*2*3*3