hp 40gs_user's guide_English_E_HDPMSG40E07A

14-56 Computer Algebra System (CAS)
FACTOR Factors a polynomial.
Example 1
Typing:
FACTOR(X
2
– 2)
gives:
Example 2
Typing:
FACTOR(X
2
+ 2·X + 1)
gives:
GCD Returns the GCD (Greatest Common Divisor) of two
polynomials.
Example
Typing:
GCD(X
2
+ 2·X + 1, X
2
– 1)
gives:
HERMITE Returns the Hermite polynomial of degree n (where n is a
whole number). This is a polynomial of the following type:
Example
Typing:
HERMITE(6)
gives:
x 2+()x 2()
x 1+()
2
x 1+
H
n
x() 1()
n
e
x
2
2
-----
d
n
dx
n
--------
e
x
2
2
-----
=
64x
6
480x
4
–720x
2
120+
hp40g+.book Page 56 Friday, December 9, 2005 1:03 AM