Generating Polynomial Coefficients Given The Polynomial's Roots - HP 49g+ User Manual

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`
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:
‚ Ï ˜ ˜
@ @ O K @ @
˜ „ Ô 1 ‚ í 5
‚ í 2 \ ‚ í 4
@ S O L V E @
`
Press
to return to stack, the coefficients will be shown in the stack.
˜
Press
to trigger the line editor to see all the coefficients.
Select Solve poly...
Enter vector of roots
@ @ O K @ @
Solve for coefficients
Page 6-7

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