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answer is a =-1/3
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swapnapanditdepegxy5:
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(x - a) is a factor of x^3 - ax^2 + 2x + a - 1.
Now, using remainder theorem,
f(x) = x^3 - ax^2 + 2x + a - 1
f(a) = (a)^3 - a(a)^2 + 2a + a - 1 = 0
Or, a^3 - a^3 + 3a - 1 = 0
Or, 3a - 1 = 0
Or, 3a = 1
Or, a = 1/3
➡️ Hence, value of a is 1/3.
REGARDS, ARNAB ✌️
THANK YOU
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