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GCE Mathematics 1989 Question 6

Question 6

Algebraic Expressions

Factorize 35 − 2b − b2

  1. A.(35 − 2b)(b − 1)
  2. B.(7 + b)(5 − b)
  3. C.(3 + 7b)(5 − b)
  4. D.(35 − b)(3b + 7)
  5. E.(7 + b)(5 + b)
Show the answer and explanation

Answer: B ((7 + b)(5 − b))

Explanation

(7 + b)(5 − b) = 35 − 7b + 5b − b2 = 35 − 2b − b2.