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WAEC Further Mathematics 2021 Question 2

Question 2

Polynomials

For what range of values of x is x2 − 2x − 3 ≤ 0?

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

Answer: A (−1 ≤ x ≤ 3)

Explanation

x² − 2x − 3 = (x − 3)(x + 1) ≤ 0 between the roots: −1 ≤ x ≤ 3.