HP 49g+ - Manual (Page 98)

Page 6-7
Press
` to return to stack. The stack will show the following results in ALG
mode (the same result would be shown in RPN mode):
All the solutions are complex numbers: (0.432,-0.389), (0.432,0.389), (-
0.766, 0.632), (-0.766, -0.632).
Generating polynomial coefficients given the polynomial's roots
Suppose you want to generate the polynomial whose roots are the numbers
[1, 5, -2, 4]. To use the calculator for this purpose, follow these steps:
‚Ϙ˜@@OK@@
Select Solve poly…
˜„Ф1‚н5 Enter vector of roots
‚н2\‚н 4@@OK@@
@SOLVE@ Solve for coefficients
Press
` to return to stack, the coefficients will be shown in the stack.
Press
˜ to trigger the line editor to see all the coefficients.