Answer:

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Step-by-step explanation:

Given, the polynomial is x³ - ax² + 2x + a - 1.

Also, x - a is a factor of the given polynomial.

We have to find the value of a.

Let g(x) = x³ - ax² + 2x + a - 1.

x - a = 0

x = a

Put x = a in g(x)

g(a) = 0

(a)³ - a(a)² + 2(a) + a - 1 = 0

a³ - a³ + 2a + a - 1 = 0

3a - 1 = 0

3a = 1

Therefore, a = 1/3