Question

Check whether x+2 is a factor of x3 – 3x2 + 3x -1
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Answer 1

Answer:

f(x)=x^3-3x^2+3x-1

To check if x+2 is a factor of the given f(x)

consider x+2=0

x=-2

now substitute the value of x in f(x)

f(-2)= (-2^3)-3(-2^2)+3(-2)-1

=-8-3(4)-6-1

=-8-12-7

=-27

From this we can conclude that x+2 is not a factor of x^3-3x^2+3x-1