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QYQ@ @†ì‡¨a@pa rØ

3x ( )    2x + 1 ( )     2x − 1 ( )                     2x ( )
.1 ( )
                     r1  q1(x )          [AHSME 1979] (            )
 8        r2 q2(x)                                                 )
                                 .x + 1             x8
              r2
                                        2
          1()
                         x +1    q1(x )
          16                  2

                         −1 ( )                − 1 ()

                           8                       16

                                            [M and IQ3] (

          (x + 1)(x + 4)(x + 2)(x + 3) = −1

15 ( )    10 ( )         −10 ( )                    −15 ( )
x +1 ( )
          x2 −1          f (x ) = x 51 − 1                      (  )
8()                                                                )
          −1x + 1 ( )    x −1 ( )           −1x − 1 ()             )

            22                                22

          x 3 − 6x 2 − x + 30 = 0                       (
                                                 .

          5( )                   3( )               −2 ( )

                                            1 −1                (

          f (x) = x 4 − 7x 3 + 11x 2 + 7x − 12 = 0

11 ( )    10 ( )                 9( )                 7()
                                                    7 ()

          . f (x) = 3x 3 − 14x2 − 55x + 42
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