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CBSE Class 10 Answered

On dividing 4 x to the power of 3 space end exponent minus 8 x squared space plus 8 x plus 1 space by a polynomial g(x) ,the quotient and remainder were (bold 2 bold italic x to the power of bold 2 bold minus bold 3 bold italic x bold plus bold 2 ) and (x+3) respectively .Find g(x).  
Asked by kmravibhat | 25 Mar, 2019, 05:46: PM
answered-by-expert Expert Answer
4x3 -8x2 +8x +1 = ( 2x2 -3x +2) g(x) + (x+3)
 
(4x3 -8x2 +8x +1 ) - (x+3) = ( 2x2 -3x +2) g(x)
 
4x3 -8x2 +7x -2 = ( 2x2 -3x +2) g(x)
 
( 4x3 -8x2 +7x -2 ) / ( 2x2 -3x +2) = g(x)
 
                             2x -1
                       _________________________
( 2x2 -3x +2)  )  4x3 -8x2 +7x -2
                          4x3 -6x2 +4x
                         -------------------
                                 -2x2 +3x -2
                                 -2x2 +3x -2
                                 ---------------
                                      0
 
Hence  g(x) = (2x-1)
Answered by Thiyagarajan K | 25 Mar, 2019, 06:12: PM

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