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Form Five                                                                                                                                          Form Five


          4.    e =  9, f =  −  2 , g =  −  11

          5.    (a) x −  4  4x −  3  2x +  2  12x +  9  (b) 3x−  4  +  7x −  3  6x +  2  3x −  1
          6.  (a)m =  10, n =  −  7, p =  4
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          7.  (a) quotient  x +  2  2x +  1,  remainder 3
             (b) quotient  x −  3  8x +  10 , remainder  11−
             (c) quotient  x −  5  2x +  4  2,remainder  5−

             (d) quotient  x − 13, remainder 64
             (e) quotient  x +  3  4x +  2  12x +  50,  remainder 206 .
             (f) quotient 2x  – x  + x – 1, remainder 2.
                               2
                           3

                                                     6
          8.  (a) quotient 2x +  3  2x +  8  remainder   x−+ .
             (b) quotient  x −−  1, remainder 2x + .
                                                   2
                           2
                              x
                            3
                                   x
                                2
             (c) quotient 2x −  x +−  1, remainder 2.
             (d) quotient  x +  3  ax +  2  a x a+  2  3 , remainder 0.
          9.   (a) 2    (b) 7    (c) 319    (d) 2549     (e) 131
          10. t =30 , no factors
          Inequalities
          Teaching steps
             1.  Design hands activities to enhance students’ understanding of
                 the concept of inequalities using the Student’s Book and other
                 resources as suggested. Advise students to share their work
                 with other groups for more inputs.

             2.  Guide students through discussions to perform Activity 5.6 in
                 the Student’s Book on recognizing the solution of a quadratic
                 inequality. Engage students to use scientific calculators to obtain
                 the real roots of quadratic equations. Advise students to write their
                 work on a flip chart or manila sheet ready for presentations or for
                  gallery walk.



                                                 92
         Mathematics for Advanced Secondary Schools



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