Page 39 - More Higher algebra
P. 39

Leaving
                                                      2
                             (  ) = (   − 7) +
                                                      − 4


        You  can  see  in  this  function  the  presence  of  the

        oblique asymptote (   − 7)  which is evident from the
        graph on page 33.




        Now consider the following rational function,


                                           3
                                  4
                                                      2
                              4   + 4   − 25   −    + 6
                      (  ) =
                                                2
                                     3
                                  3   + 11   + 5   − 3
        Factorise  both  denominator  and  nominator.  Fourth
        order  polynomials  are  difficult  to  work  with  so  we
        shall use the SOLVE feature on your fx calculator. Use

        any number as a seed as we only need to find one

        factor,  let  the  seed  be  1.  The  keystrokes  for  the
        nominator are,


          C4Q(X)^4$+4J(X)q(x )p
                                                                     3
             25J(X)dpJ(X)+6Q(=)0

                                   q(SOLVE)


        Solve for X 1=


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