Corollary 6.4.  Let P(z) be a polynomial of degree .  Then P(z) can be expressed as the product of linear factors.  That is,  

              

where    are the zeros of P(z) counted according to multiplicity an A is a constant.  

Proof.

Corollary 6.4 is in the book.

Complex Analysis for Mathematics and Engineering

(c) 2006 John H. Mathews, Russell W. Howell