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Question

For the equation, x7+3x6−2x5+4x4−4x3+3x2−2x+1=0
, the value of the sum of the roots taken 3 at a time is:

A
4
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B
4
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C
3
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D
3
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Solution

The correct option is A 4
The given equation is x7+3x62x5+4x44x3+3x22x+1=0.
According to the relation between the roots and coefficients of an equation a0xn+a1xn1+a2xn2+...+an=0 with degree n, the sum of the roots taken r at a time is given by
Sr=(1)rara0.
S3=41=4

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