Example 4.  Given   .  Start with    and    and use the Lin-Bairstow method to find a quadratic factor of  .  

Solution 4.

Enter the coefficients of the polynomial.  

Enter the starting values    and    and call the subroutine Bairstow.

Verify that a quadratic factor has been found.

We are done.

Aside.  We can let Mathematica find the factors too.  This is just for fun.

Aside.  We can let Mathematica find the roots too.  This is just for fun.

(c) John H. Mathews 2004