HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - 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: Q(X) + RB-----((--XX----)) where R"(X) = 0, or 0 ≤ deg (R(X) < deg (B(X). Example Typing: ROPFRAC ⎛⎝ (---5---X-----+-----X3 2(---X----------1----)⎠⎞ gives: 5x - 12 + ----2---1---x+2 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 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 Computer Algebra System (CAS)