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JAMB Mathematics 2007 Question 20

Question 20

Algebraic Expressions

Factorize 2t2 + t − 15

  1. A.(2t − 3)(t + 5)
  2. B.(t + 3)(2t − 5)
  3. C.(t + 3)(t − 5)
  4. D.(2t + 3)(t − 5)
Show the answer and explanation

Answer: B ((t + 3)(2t − 5))

Explanation

Find two numbers with product 2 × (−15) = −30 and sum 1: 6 and −5. 2t2 + 6t − 5t − 15 = 2t(t + 3) − 5(t + 3) = (t + 3)(2t − 5).