HP 39g+ - Manual (Page 148)

10-12 Using mathematical functions
Polynomial functions
Polynomials are products of constants (coefficients) and
variables raised to powers (terms).
POLYCOEF 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,-25,
-26,120] , representing x
4
+2x
3
–25x
2
–26x+120.
POLYEVAL Polynomial evaluation. Evaluates a polynomial with the
specified coefficients for the value of x.
POLYEVAL([ coefficients ], value )
Example
For x
4
+2x
3
–25x
2
–26x+120:
POLYEVAL([1,2,-25,-26,120],8) returns
3432 .
POLYFORM Polynomial form. Creates a polynomial in variable1 from
expression.
POLYFORM (expression,variable1)
Example
POLYFORM((X+1)^2+1,X) returns X^2+2*X+2 .
POLYROOT Polynomial roots. Returns the roots for the nth-order
polynomial with the specified n+1 coefficients.
POLYROOT ([coefficients])
Example
For x
4
+2x
3
–25x
2
–26x+120:
POLYROOT([1,2,-25,-26,120]) returns
[2,-3,4,-5] .