**Question:** *How can you tell if you have completely factored a polynomial?*

**My answer:** __If the elements don’t share a common factor then the polynomial is completely factored.__

Is this correct? I don't remember how to know if a polynomial has been factored completely.

Guest Feb 12, 2019

#1**+1 **

You are correct....if we take out the GCF and the remaining terms share no other common factor....it is completely factored

CPhill Feb 12, 2019

#4**0 **

If a polynomial is of degree n then there are n factors. Some could be double or triples or whatever, they do not have to be all distinct and they do not have to be all real.

If you do not count complex or imaginary numbers then it can be hard to know if you have fully factored your polynomial.

Maybe another mathematician might like to comment further.

Melody Feb 12, 2019