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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 ,-25,-26,120],
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, -25, -25,120] , 8) returns 3432.
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,-25,-26,120] ) returns [2,-3,4,-5].
Mathematical Calculations 2-21