HP 40gs - Manual (Page 239)

Computer Algebra System (CAS) 14-57
LCM Returns the LCM (Least Common Multiple) of two
polynomials.
Example
Typing:
LCM(X 2 + 2·X + 1, X 2 – 1)
gives:
LEGENDRE Returns the polynomial L
n
, a non-null solution of the
differential equation:
where n is a whole number.
Example
Typing:
LEGENDRE(4)
gives:
PARTFRAC Returns the partial fraction decomposition of a rational
fraction.
Example
Typing:
gives, in real and direct mode:
and gives, in complex mode:
x
2
2x 1 + + ( ) x 1 – ( ) ⋅
x
2
1 – ( ) y″ ⋅ 2 – x y ′ n n 1 + ( ) y ⋅ – ⋅ ⋅ 0 =
35 x
4
⋅ 30 – x
2
⋅ 3 +
8
----------------------------------------------
ARTFRAC
X
5
2X
3
– 1 +
X
4
2X
3
– 2X
2
2X – 1 + +
------------------------------------------------------------
⎝
⎜
⎛
x 2
x 3 –
2x
2
2 +
-----------------
1 –
2x 2 –
--------------- + + +
x 2
1 3 i ⋅ –
4
------------------
x i +
------------------
1 –
2
------
x 1 –
-----------
1 3 i ⋅ +
4
------------------
x i –
------------------ + + + +
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