Question

If (x-a) is a factor of x^3- ax^2 + a- 1 , Find a.
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Answer 1

Answer:

Step-by-step explanation:

Given,

(x-a) is a factor of f (x) = 0 (∵x-a=0⇒x= a )

Let f (x ) = x ^3-ax^2+a-1=0

Now substituting ' a ' in f (x ),we get

f (a )= a^3-a×a^2+a-1=0

⇒a ^3-a^3+a-1=0

⇒ a -1=0

⇒a= 1 is the answer