HP 33s User Manual page 252

A through E Coefficients of polynomial; scratch.
F Order of polynomial; scratch.
G Scratch.
H Pointer to polynomial coefficients.
X The value of a real root, or the real part of complex root
i The imaginary part of a complex root; also used as an index
variable.
Example 1:
5
Find the roots of x
Keys:
(In RPN mode)
t
P
¥
5
z ¥
1
z ¥
101
¥
101
¥
100
z ¥
100
¥
¥
¥
¥
15–30
Mathematics Programs
4 3
– x – 101 x +101 x
Display:

value 

value 

value

value

value

value 










2
+ 100 x – 100 = 0.
Description:
Starts the polynomial root finder;
prompts for order.
Stores 5 in F ; prompts for E .
Stores –1 in E ; prompts for D .
Store –101 in D . prompts for C .
Stores 101 in C ; prompts for B .
Stores 100 in B ; prompts for A .
Stores –100 in A ; calculates the
first root.
Calculates the second root.
Displays the third root.
Displays the fourth root.
Displays the fifth root.