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ChiranjeevSingh
What is the product of all the roots of the following equation?

\(x^5 - 3x^4 = 3x^2 - 3x^3 + 2x\)

A. 28
B. 19
C. 14
D. 1
E. 0

since equation becomes
\(x(x^4-3x^3+3x^2-3x-2)=0\)
one of the roots will be x=0

Hence product of all roots will be 0
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Taking x common and all the terms on left side ,
x(x4−3x3+3x2−3x−2)=0
Which equuals ,

x=0 or x4-3x3=3x2-2=0

One of the root is 0 . That means product of roots = 0
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