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 x4+2x3–25 x2–26 x+120.

POLYEVAL

Polynomial evaluation. Evaluates a polynomial with the

 

specified coefficients for the value of x.

 

POLYEVAL([coefficients],value)

 

Example

 

For x4+2x3–25 x2–26 x+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 x4+2x3–25 x2–26 x+120:

 

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

 

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

10-12

Using mathematical functions

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Image 148
HP 40G manual Polynomial functions, Polycoef, Polyeval, Polyform, Polyroot