WAEC Mathematics 2019 Objective — Question 20

Question 20 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

20. Simplify: (x²−5x−14)/(x²−9x+14)

A. (x-7)/(x+7)
B. (x+7)/(x-7)
C. (x-2)/(x+2)
D. (x+2)/(x-2)Correct

Explanation

Factorising: x²−5x−14=(x+2)(x−7); x²−9x+14=(x−2)(x−7). So the expression simplifies to (x+2)(x−7)/[(x−2)(x−7)] = (x+2)/(x−2).

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