Question
In the polynomial (x - 1)(x - 2)(x - 3)............... .........(x - 100), the coefficient of x99 is
Answer: Option B
:
B
(x - 1)(x - 2)(x - 3)..............(x - 100)
Number of terms = 100;
∴ Coefficient of x99
= (x - 1)(x - 2)(x - 3)........(x -100)
= (-1 - 2 - 3 - .......... - 100) = -(1 + 2 +.........+ 100)
= - 100×1012 = - 5050.
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:
B
(x - 1)(x - 2)(x - 3)..............(x - 100)
Number of terms = 100;
∴ Coefficient of x99
= (x - 1)(x - 2)(x - 3)........(x -100)
= (-1 - 2 - 3 - .......... - 100) = -(1 + 2 +.........+ 100)
= - 100×1012 = - 5050.
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