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JAMB Mathematics 2010 Question 14

Question 14

Polynomials

If 9x2 + 6xy + 4y2 is a factor of 27x3 − 8y3, find the other factor.

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

Answer: A (3x − 2y)

Explanation

Difference of two cubes: 27x3 − 8y3 = (3x − 2y)(9x2 + 6xy + 4y2).