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WAEC Further Mathematics 2023 Question 8

Question 8

Polynomials

If α and β are the roots of 7x2 + 12x − 4 = 0, find the value of αβ/(α + β)2.

  1. A.36/7
  2. B.7/36
  3. C.−7/36
  4. D.−36/7
Show the answer and explanation

Answer: C (−7/36)

Explanation

α + β = −12/7 and αβ = −4/7. αβ/(α + β)² = (−4/7) ÷ (144/49) = −4/7 × 49/144 = −7/36.