Question : If 4(z + 7)(2z – 1)=Az2 + Bz + C, then the value of A + B + C is:
Option 1: 28
Option 2: 32
Option 3: 74
Option 4: 81
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Correct Answer: 32
Solution : Given: 4(z + 7)(2z – 1) = (4z + 28)(2z – 1) = 8z 2 + 56z – 4z – 28 = 8z 2 + 52z – 28 So, Az 2 + Bz + C = 8z 2 + 52z – 28 Comparing the values we get, A = 8 B = 52 C = – 28 So, A + B + C = 8 + 52 – 28 = 32 Hence, the correct answer is 32.
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