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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

+2x

–25x

–26x+120.

POLYEVAL Polynomial evaluation. Evaluates a polynomial with the

specified coefficients for the value of x.

POLYEVAL([coefficients],value)

Example

For x

+2x

–25x

–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

+2x

–25x

–26x+120:

POLYROOT([1,2,-25,-26,120]) returns

[2,-3,4,-5].

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