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WAEC Mathematics 1988 Question 29

Question 29

Algebraic Expressions

Factorize 5y2 + 2ay − 3a2

  1. A.(5y − a)(y + 3a)
  2. B.(5y + a)(y − 3a)
  3. C.5y2 + a(2y − 3a)
  4. D.(y − a)(5y + 3a)
  5. E.(y + a)(5y − 3a).
Show the answer and explanation

Answer: E ((y + a)(5y − 3a).)

Explanation

We need two terms multiplying to −15a2y2 and adding to 2ay: 5ay and −3ay. So 5y2 + 5ay − 3ay − 3a2 = (y + a)(5y − 3a).