hp40g+.book Page 56 Friday, December 9, 2005 1:03 AM

FACTOR

Factors a polynomial.

 

 

 

 

 

Example 1

 

 

 

 

 

 

 

 

 

Typing:

 

 

 

 

 

 

 

 

 

FACTOR(X2 – 2)

 

 

 

 

 

 

 

gives:

 

 

 

 

 

 

 

 

 

(x + 2) ⋅ (x – 2)

 

 

 

 

 

Example 2

 

 

 

 

 

 

 

 

 

Typing:

 

 

 

 

 

 

 

 

 

FACTOR(X2 + 2·X + 1)

 

 

 

gives:

 

 

 

 

 

 

 

 

 

(x + 1)2

 

 

 

 

 

 

 

 

GCD

Returns the GCD (Greatest Common Divisor) of two

 

polynomials.

 

 

 

 

 

 

 

 

 

Example

 

 

 

 

 

 

 

 

 

Typing:

 

 

 

 

 

 

 

 

 

GCD(X2 + 2·X + 1, X2 – 1)

 

gives:

 

 

 

 

 

 

 

 

 

x + 1

 

 

 

 

 

 

 

 

HERMITE

Returns the Hermite polynomial of degree n (where n is a

 

whole number). This is a polynomial of the following type:

 

 

 

 

 

x2

 

n

 

x2

 

 

n

 

 

----

d

 

– ----

 

Hn(x) = (–1)

⋅

e

2

 

e

2

 

 

 

-------

 

 

 

 

 

 

 

dxn

 

 

Example

Typing:

HERMITE(6)

gives:

64x6 – 480x4 + 720x2 – 120

14-56

 

 

Computer Algebra System (CAS)