Coefficients), Terms), Roots – HP 38g Graphing Calculator User Manual
Page 57: X%2з¿-25)¿-2%x, Coefficients, Value, Coefficients] , value), Variable, Expression, Variable2
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Polynomial
Functions
Polynomials are products of constants
(coefficients)
and
variables raised to powers
(terms).
POLYCOEF
Polynomial coefficients. Returns the coefficients for the
polynomial with the specified
roots.
POLYCOEF! [roofs] )
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
x%2з¿-25)¿-2%x+\
20.
POLYEVAL
Polynomial evaluation. Evaluates a polynomial with the
specified
coefficients
for the
value
of
x.
POLYEVAL!
[coefficients] , value)
Example: for 25x^—26jc-rl20:
POLYEVAL! [ 1 , 2 , - 2 5 , - 2 5 , 1 2 0 ] , 8 ) returns 3 4 3 2 .
POLYFORM
Polynomial form. Creates a polynomial in
variable]
from
expression.
Can express the coefficients as a polynomial in
variable2.
(The coefficients of the coefficients can be expressed
as polynomials in
variables,
etc.)
POLYFORM!
expression, variable 1,.. .,variable-n
)
Example:
polyform
!
!
x
+ 1 ) ' ' 2 + 1 ,
x
) returnsX''2+2*
x
+2 .
POLYROOT
Polynomial roots. Returns the roots for the nth-order polynomial
with the specified
n+l coefficients.
polyroot
!
[coefficients]
)
Example: forx“-i-2x*-25x^-26x+120:
POLYROOT! [ 1 , 2 , - 2 5 , - 2 6 , 1 2 0 ] ) returns [ 2 , - 3 , 4 , - 5 ] .
Mathematical Calculations 2-21