beautypg.com

HP Prime Graphing Wireless Calculator User Manual

Page 136

background image

132

Functions and commands

Coefficients

Given a polynomial in x, returns a vector containing the

coefficients. If the polynomial is in a variable other than x,

then declare the variable as the second argument. With an

integer as the optional third argument, returns the coefficient

of the polynomial whose degree matches the integer.

coeff(Poly,

[Var],

[Integer])

Examples:

coeff(x^2-2) returns [1 0 -2]

coeff(y^2-2, y, 1) returns 0

Divisors

Given a polynomial, returns a vector containing the divisors of

the polynomial.

divis(Poly) or divis({Poly1, Poly2,…})

Example:

divis(x^2-1) returns [1 -1+x 1+x (-1+x)*(1+x)]

Factor List

Returns a vector containing the prime factors of a polynomial

or a list of polynomials, with each factor followed by its

multiplicity.

factors(Poly) or factors({Poly1,
Poly2,…})

Example:

factors(x^4-1) returns [x-1 1 x+1 1 x

2

+1 1]

GCD

Returns the greatest common divisor of two or more

polynomials.

gcd(Poly1,Poly2...)

Example:

gcd(x^4-1, x^2-1) returns x^2-1

LCM

Returns the least common multiple of two or more

polynomials.

lcm(Poly1, Poly2,…)

Example:

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

gives

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