WAEC Further Mathematics 2021 Question 9

Question 9

Polynomials

If α and β are the roots of 3x2 − 7x + 6 = 0, find the value of 1/α + 1/β.

  1. A.7/6
  2. B.7/3
  3. C.14/5
  4. D.14/3
Show the answer and explanation

Answer: A (7/6)

Explanation

α + β = 7/3, αβ = 2. 1/α + 1/β = (α + β)/αβ = 7/6.