CBSE Class 10 Answered
On dividing by a polynomial g(x) ,the quotient and remainder were ( ) and (x+3) respectively .Find g(x).
Asked by kmravibhat | 25 Mar, 2019, 05:46: PM
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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