Question

If p( x )= 2 x 3 + a x 2 + 3 x – 3 and f( x ) = x 3 + x 2 - 4 x + a leave the same remainder when divided by x -2, find the value of a.

Answer 1

Answer:p( x )= 2 x 3 + a x 2 + 3 x – 3 leaves 1+4a as remainder

             f( x ) = x 3 + x 2 - 4 x + a leaves a+4

             so 1+4a=a+4

                   3a=3

                   a=1

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Step-by-step explanation:

Answer 2

p( x )= 2 x 3 + a x 2 + 3 x – 3 leaves 1+4a as remainder

             f( x ) = x 3 + x 2 - 4 x + a leaves a+4

             so 1+4a=a+4

                   3a=3

                   a=1