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Question

In the equation, x6−12x5+ax4−bx3+cx2−dx+64=0. Find a+b+c+d

A
362
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B
662
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C
562
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D
652
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Solution

The correct option is D 652

Ans. (d)

Since sum of roots is given to you as 12 and product as 64. the six roots are 2,2,2,2,2,2.

Sum of roots taken 2 at a time (a) = 6C2×4=60

Sum of roots taken 3 at a time (b) = 6C3×8=160

Sum of roots taken 4 at a time (c) = 6C4×16=240

Sum of roots taken 5 at a time (d) = 6C5×32=192

a+b+c+d=652


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