WAEC Mathematics 2012 Objective — Question 35

Question 35 of 50 from the West African Examinations Council (WAEC) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

Find the coefficient of m in the expansion of (m/2−1½)(m+⅔).

A. -1/6
B. -1/2
C. -1
D. -1⅙Correct

Explanation

Expanding: (m/2)(m) + (m/2)(⅔) − 1½(m) − 1½(⅔). The coefficient of m comes from (m/2)(⅔) − 1½(m) = m/3 − 3m/2 = (2m−9m)/6 = −7m/6, giving coefficient −1⅙ (i.e. −7/6).

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