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Post-UTME Mathematics 2013 Objective — Question 11

Question 11 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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If x+1 and x-1 are both factors of the equation x³+px²+qx+6=0, evaluate p and q

  • A. -6,-1Correct
  • B. 6,1
  • C. 1,-1
  • D. 6,-6

Explanation

Roots -1,1 and a third root r. Product of roots=-6 gives r=6, so p=-6; sum of pairwise products gives q=-1.

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