CBSE Class 10 Answered
Divide 3x2 - x3 - 3x + 5 by x - 1 - x2 and verify the division algorithm.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Let f(x) = -x3 + 3x2 - 3x + 5 and g(x) = -x2 + x - 1
We have:
Quotient, q(x) = x - 2 and remainder, r(x) = 3
Now,
Quotient 
Divisor + Remainder
= (x - 2)(-x2 + x - 1) + 3
= -x3 + x2 - x + 2x2 - 2x + 2 + 3
= -x3 + 3x2 - 3x + 5 = Dividend
Hence, the division algorithm is verified.
Answered by | 04 Jun, 2014, 03:23: PM
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