HP 40gs User Manual page 240

hp40g+.book Page 58 Friday, December 9, 2005 1:03 AM
PROPFRAC
PTAYL
QUOT
14-58
PROPFRAC rewrites a rational fraction so as to bring out
its whole number part.
PROPFRAC(A(X)/ B(X)) writes the rational fraction A(X)/
B(X) in the form:
R X ( )
Q X ( )
----------- -
+
B X ( )
where R"(X) = 0, or 0 ≤ deg (R(X) < deg (B(X).
Example
Typing:
( ) ⋅
5X + 3
⎛
------------------------------------------ -
ROPFRAC
⎝
X +
gives:
21
----------- -
5x 12 – +
x + 2
PTAYL rewrites a polynomial P(X) in order of its powers of
X – a.
Example
Typing:
2
PTAYL(X + 2·X + 1, 2)
produces the polynomial Q(X), namely:
2
x + 6x + 9
Note that P(X) = Q(X–2).
QUOT returns the quotient of two polynomials, A(X) and
B(X), divided in decreasing order by exponent.
Example
Typing:
2
QUOT(X + 2·X + 1, X)
gives:
x + 2
( )
X 1 –
⎞
⎠
2
Computer Algebra System (CAS)