Engineering Board Exam Reviewer · Polynomials: Remainder and Factor Theorems · hard

Find the remainder when 2x101+3x100-5 is divided by x+1.

  1. -4
  2. 0
  3. 4
  4. -10

Answer

A. -4

Solution

By the remainder theorem, the remainder is f(-1)=2(-1)101+3(-1)100-5=-2+3-5=-4.

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