hp40g+.book Page 58 Friday, December 9, 2005 1:03 AM

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:

 

R(X)

 

Q(X) + -----------

 

B(X)

 

where R”(X) = 0, or 0 ≤ deg (R(X) < deg (B(X).

 

Example

 

 

 

Typing:

 

 

 

ROPFRAC

⎛

(5X + 3) ⋅ (X – 1)

 

⎝

------------------------------------------

 

 

X + 2

 

gives:

 

 

 

 

21

 

5x – 12 + -----------

 

x + 2

PTAYL

PTAYL rewrites a polynomial P(X) in order of its powers of

 

X – a.

 

 

 

Example

 

 

 

Typing:

 

 

 

PTAYL(X2 + 2·X + 1, 2)

 

produces the polynomial Q(X), namely:

 

x2 + 6x + 9

 

 

 

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(X2 + 2·X + 1, X) gives:

x + 2

14-58

 

 

Computer Algebra System (CAS)