Find the value of a for which (x - 1) is a factor of the polynomial (a²x³ - 4ax + 4a - 1).

If (x - 1) is a factor of the polynomial (a²x³ - 4ax + 4a - 1).

then it must satisfy it.

So, putting x = 1 the polynomial must be zero.

Putting x = 1 and equating to zero.

= (a²(1)³ - 4a(1) + 4a - 1)

= a² - 4a + 4a - 1 = 0

= a² = 1

So, a = �1.