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Question

The sum of roots of the polynomial equation (x1)(x2)(x3)=2(x2)(x3) is


A

5

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B

3

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C

1

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D

8

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Solution

The correct option is D

8


(x1)(x2)(x3)=2(x2)(x3)
(x1)(x2)(x3)2(x2)(x3)=0
(x2)(x3)(x12)=0
(x2)(x3)(x3)=0
Therefore, the given equation can be modified as (x2)(x3)2=0, then the roots of equation are 2,3 and 3.
Hence, the sum of roots is 8.


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