Example, Polynomial functions, Polycoef polyeval polyform polyroot – HP 39g Graphing Calculator User Manual
Page 150
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Polynomial functions
POLYCOEF
POLYEVAL
POLYFORM
POLYROOT
Polynomials are products of constants
{coefficients)
and
variables raised to powers
{terms).
Polynomial coefficients. Returns the coefficients of the
polynomial with the specified
roots.
POLYCOEF
{[roots])
Example
To find the polynomial with roots 2, -3, 4, -5:
POLYCOEF ( [ 2 , - 3 , 4 , - 5 ] ) returns [ 1 , 2 , - 2 5 ,
- 2 6 , 1 2 0 ] , representing
y
'*+2
y
^“25
y
^-26
y
+120.
Polynomial evaluation. Evaluates a polynomial with the
specified
coefficients
for the
value
of .r.
POLYEVAL { [
coefficients
] ,
value)
Example
For x^+'h?~25.x^~26x+120:
POLYEVAL ( [ 1 , 2 , - 2 5 , - 2 6 , 1 2 0 1 , 8 ) returns
3432.
Polynomial fonn. Creates a polynomial in
variahlel
from
expression.
POhYFOBMlexpression.variablel)
Example
POLYFORM( (X+1) ^2 + 1 , X )
returns
X"-2+2*X+2.
Polynomial roots. Returns the roots for the ;jth-order
polynomial with the specified
n+\ coefficients.
¥0'hYROO’Y{[coefficients])
Example
For /+2
a
-3-25
y
2-26
y
+120:
P O L Y R O O T ( [ 1 , 2 , - 2 5 , - 2 6 , 1 2 0 ]
[ 2 , - 3 , 4 , - 5 ] .
returns
10-12
Using mathematical functions