HP 40gs - Manual (Page 240)

14-58 Computer Algebra System (CAS)
PROPFRAC 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:
where R”(X) = 0, or 0 ≤ deg (R(X) < deg (B(X).
Example
Typing:
gives:
PTAYL PTAYL rewrites a polynomial P(X) in order of its powers of
X – a.
Example
Typing:
PTAYL(X 2 + 2·X + 1, 2)
produces the polynomial Q(X), namely:
Note that P(X) = Q(X–2).
QUOT QUOT returns the quotient of two polynomials, A(X) and
B(X), divided in decreasing order by exponent.
Example
Typing:
QUOT(X 2 + 2·X + 1, X)
gives:
Q X ( ) R X
( )
B X ( )
------------ +
ROPFRAC
5X 3 + ( ) X 1 – ( ) ⋅
X 2 +
-------------------------------------------
⎝ ⎠
⎛ ⎞
5x 12 –
21
x 2 +
------------ +
x
2
6x 9 + +
x 2 +
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