HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 238
Example 1, Example 2, Example
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hp40g+.book Page 56 Friday, December 9, 2005 1:03 AM FACTOR GCD HERMITE 14-56 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 Returns the GCD (Greatest Common Divisor) of two polynomials. Example Typing: GCD(X2 + 2·X + 1, X2 - 1) gives: x+1 Returns the Hermite polynomial of degree n (where n is a whole number). This is a polynomial of the following type: Hn(x) = (-1)n ⋅ e x---22 --d---n-- - -x--2- e2 dxn Example Typing: HERMITE(6) gives: 64x6 - 480x4 + 720x2 - 120 Computer Algebra System (CAS)
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
----
–
⋅
=
64
x
6
480
x
4
–
720
x
2
120
–
+
hp40g+.book
Page 56
Friday, December 9, 2005
1:03 AM