# Proof of an algebraic theorem

Recently I have known an algebraic theorem on polynomial while learning the method of partial fraction.
The theorem is :
Any polynomial can be written as the product of linear factors and irreducible quadratic factors.
I did not find an intuitive proof of this theorem.I asked a question in this link http://math.stackexchange.com/questions/1158560/need-of-an-intuitive-proof-of-an-algebraic theorem

and an answer was given there but I did not fully understand this.Can anyone prove the theorem intuitively?