Page 1 - Home Assignment-Factor and Remainder Theorem Ch-2
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SAI International School
                                                      CLASS -IX

               Mathematics
               CHAPTER-2: Polynomial

               HOME ASSIGNMENT - 3


               SUB TOPIC: FACTOR AND REMAINDER THEOREM


                  1.   Find the remainder when (    101  +  101) is divided by (   + 1).


                                      3
                  2.   Determine, if    −  3   + 4   − 4   is divisible by (   − 2).
                                              2



                                                        3
                                                                2
                  3.  If (   + 1) is a factor of       + 4   − 12   + 4   , find the value of  ′  ′ .
                                                 4

                  4.   If      +      +     − 6 has    + 2 as a factor and leaves remainder 4 when
                           3
                                  2
                      divided by (   − 2) , Find the values of  ′a′ and ‘b’.

                                         3
                                                                          2
                  5.   The polynomial    +  2   − 5     − 8 and     +      − 12   − 6 when divided by
                                                                   3
                                                2
                      (   − 2) and (   − 3) leave remainder      and     respectively. If     −    = 0 , find
                      the value of ′  ′ .

                                                                                    +
                  6.  The polynomials  ( )p x =  ax + 4x + 3x −  and  ( ) =  x − 4x a  leave the same
                                                       2
                                                                              3
                                                 3
                                                                      q
                                                               4
                                                                        x
                      remainder when divided by x − 3. Find the remainder when p(x) is divided by
                      (x−2).
                                         1 
                                                                             +
                  7.    If (x - 3) and  x −     are both factors of of ax +  2  5x b show that a = b.
                                     
                                         3 
                       ANSWER
                      1. 100
                      2. Yes
                             16
                      3. a =
                             5
                      4. a=0 and b=2
                             33
                      5. a =
                             19
                      6.10

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