HP 40gs User Manual page 238

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