Example 2: Q-D and Bairstow Combination

The following example demonstrates how to use the Q-D method in conjunction with the Bairstow method.

Use a combination of the Q-D and Bairstow methods to find the roots of the polynomial

0 = x⁵ + 13x⁴ + 62x³ + 118x² + 97x + 29

Procedure	Press	Display

Select the program.	[ RUN ] { MTH } { --> } { ZRO } { Q-D }
Enter the number of iterations	25 { #it } { EOD }
Select new polynomial	{ YES }
Enter the degree of the polynomial	5 { n } { EOD }
Enter the coefficients	1 { ENT }
	13 { ENT }
	62 { ENT }
	118 { ENT }
	97 { ENT }
	29 { ENT }
Proceed with program	{ NO }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
	{ NXT }
Compute r and s values	{ r/s }
Specify first and second roots to generate r and s	1 { 1st }
	2 { 2nd }
View r and s	{ EOD }
	{ NXT }
Select the Bairstow program	{ NXT } { ESC } { ESC } { ESC } { BAI }
Enter the number of iterations allowed	25 { #it }
Enter the allowable error	.00000001 { err }
Proceed with program	{ EOD }
Proceed with program	{ NO }
Enter initial r and s	10 { r } 29 { s } { EOD }
View the real part	{ Re }
View the imaginary part	{ Im }
Proceed with program	{ ESC }
	{ NO }
	{ NO }
View the roots	{ EOD }
	{ R1 }
	{ R2 }
	{ R3 }