Find the value of a , if x-a is the factor of x^3-ax^2+2x+a-1
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Answer:
Given that x-a is a factor of x³-ax²+2x+a-1
So to get the value of a we have
x-a=0 (bcz of factor)
or x=a
Now x³-ax²+2x+a-1=0 For x=a
putting x=a we get
a³-a³+2a+a-1=0
or 3a=1
or a=(1/3)
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