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Post-UTME Mathematics 2006 Objective — Question 5

Question 5 of 10 from the Post-UTME Screening (Post-UTME) Mathematics 2006 Objective paper, with the correct answer and a full explanation.

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Multiply x²+x+1 by x²-x+1

  • A. x⁴+3x²+x+1
  • B. x⁴+x²+1Correct
  • C. x⁴+4x²-6x
  • D. x⁴-6x²-4x+1

Explanation

(x²+x+1)(x²-x+1) = (x²+1)²-x² = x⁴+2x²+1-x² = x⁴+x²+1.

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