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Question

The remainder obtained when  (x4+4x3+2)  is divided by  (x+1) = .
  1. 1
  2. -1
  3. 10
  4. -10


Solution

The correct option is B -1
According to the remainder theorem, the remainder obtained when a polynomial f(x) is divided by (xa) is f(a).
Given, f(x) = x4+4x3+2.
Comparing (xa) with (x+1),
a = -1.
  f(-1) = (1)4+4× (1)3+2 = -1
Hence, remainder = -1

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