HP 40gs - 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– xy′ nn 1+()y⋅–⋅⋅ 0=
35 x
4
⋅ 30– x
2
⋅ 3+
8
----------------------------------------------
A
RTFRAC
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
13i⋅–
4
------------------
xi+
------------------
1–
2
------
x 1–
-----------
13i⋅+
4
------------------
xi–
------------------
++ + +
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