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GCE Mathematics 1990 Question 19

Question 19

Algebraic Expressions

Factorize x2 + 4x − 192

  1. A.(x − 4)(x + 48)
  2. B.(x − 48)(x + 4)
  3. C.(x − 12)(x + 16)
  4. D.(x − 12)(x − 16)
  5. E.(x + 12)(x + 16)
Show the answer and explanation

Answer: C ((x − 12)(x + 16))

Explanation

Find two numbers with product −192 and sum 4: 16 and −12. So x2 + 4x − 192 = (x − 12)(x + 16).