Q:

Determine all the roots of the given function f(x)= x5−4x4−32x3

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 Determine all the roots of the given function

f(x)= x5−4x4−32x3

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Solution

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Set the function equal to zero and factor the left side

x5−4x4−32x3=x3(x2−4x−32)=x3(x−8)(x+4)=0

 

,After factoring we can see that the three roots of this function are

 

x=−4 ,  x=0  ,  x=8

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