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WAEC Further Mathematics 2014 Question 21

Question 21

Polynomials

If Px2 + (P + 1)x + P = 0 has equal roots, find the values of P.

  1. A.−1 and −1/3
  2. B.−1 and 1/3
  3. C.1 and −1/3
  4. D.1 and 1/3
Show the answer and explanation

Answer: C (1 and −1/3)

Explanation

Equal roots: (P + 1)² = 4P², so 3P² − 2P − 1 = 0, (3P + 1)(P − 1) = 0: P = 1 or −1/3.