If x-a is a factor of x3-3x2a+2a2x+b, then the value of b is

Let f (x) = x3 - 3x2a + 2a2x + b

Since, x - a is a factor of f(x)


So, f (a) = 0


a3- 3 a2 (a) + 2a2 (a) + b = 0


a3 - 3a3 + 2a3 + b= 0


b = 0

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