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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

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