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JAMB Mathematics 2009 Question 13

Question 13

Polynomials

A polynomial in x whose roots are 4/3 and −3/5 is

  1. A.15x2 − 11x − 12
  2. B.15x2 + 11x − 12
  3. C.12x2 − x − 12
  4. D.12x2 + 11x − 15
Show the answer and explanation

Answer: A (15x2 − 11x − 12)

Explanation

The factors are (3x − 4) and (5x + 3). Multiplying: 15x2 + 9x − 20x − 12 = 15x2 − 11x − 12.