beautypg.com

Polynomial – HP Prime Graphing Calculator User Manual

Page 341

background image

Functions and commands

337

Polynomial

Find Roots

Returns all computed roots of a polynomial given by its

coefficients. (It may not work if roots are not simple.)

proot(Vect||Poly)

Example:

proot([1,0,-2])

gives

[-1.41421356237,1.41421356237]

Coefficients

With an integer as third argument, returns the coefficient of a

polynomial of degree given in the third argument. With no

third argument, returns the list of coefficients of the

polynomial.

coeff(Expr,[Var],degree)

Example:

coeff(x*3+2)

gives

poly1[3,2]

Divisors

Returns the list of divisors of a polynomial or a list of

polynomials.

divis(Poly

or

LstPoly)

Example:

divis(x^2-1)

gives

[1,x-1,x+1,(x-1)*(x+1)]

Factor List

Returns the list of prime factors of a polynomial or a list of

polynomials. Each factor is followed by its multiplicity.

factors(Poly

or

LstPoly)

Example:

factors(x^4-1)

gives

[x-1,1,x+1,1,x^2+1,1]

GCD

Returns the greatest common divisor of two or more

polynomials.

gcd(Poly1,Poly2...Polyn)

LCM

Returns the lowest common multiple of two or more

polynomials.

lcm(Poly1,Poly2...Polyn)

Example:

lcm(x^2-2*x+1,x^3-1)

gives

(x-1)*(x^3-1)