Theorem 12.21 (Irreducible Quadratic Factors).  Let be polynomials with real coefficients such that the degree of is at most 1 larger than the degree of .   If    does not have a factor of the form  ,  then  

            ,  
where  

(12.21)            .  

Proof.

Proof of Theorem 12.21.

Proof of Theorem 12.21 is in the book.

Complex Analysis for Mathematics and Engineering

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