The coefficient of x17 in the expansion of (x-1)(x-2)(x-3)-(x-18) is
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a
164
b
-171
c
194
d
221
answer is B.
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Detailed Solution
Given expression = x18-sum of all rootsx17+sum of the product of the two roots taken two at a timex16...x17 coefficient =sum of all zeros = -1-2-3-…………-18=-∑18=-171