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JAMB Mathematics 2005 Question 14

Question 14

Polynomials

A polynomial in x whose zeros are −2, −1 and 3 is

  1. A.x3 − 7x + 6
  2. B.x3 + 7x − 6
  3. C.x3 + 7x + 6
  4. D.x3 − 7x − 6
Show the answer and explanation

Answer: D (x3 − 7x − 6)

Explanation

(x + 2)(x + 1)(x − 3) = (x2 + 3x + 2)(x − 3) = x3 − 7x − 6.