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Question: Divide 3x2 - x3 - 3x + 5 by x - 1and verify the division algorithm.

Answer»

There is a mistake in question

3x^2-x^3-3x+5 also ,-x^3+3x^2-3x+5x^2+x-1 ) -x^3+3x^2-3x+5 ( -x+4 - x^3 -x^2+x ________________ 4x^2-4x+5 4x^2 - 4x-4 _______________ -8x+9 clearly , remainder = -8+9 quotient = -x+4 using division algorithm , a = b*q+r = (x^2+x-1)(-x+4)-8+9 =-x^3+3x^2-3x+5 also , 3x^2-x^3-3x+5 ( dividend )



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