The Repeating Factor

Algebra Level 4

2x63x519x4+30x3+8x227x+92x^{6} - 3x^{5} - 19x^{4} + 30x^{3}+8x^{2}-27x+9 is divisible by (x1)k(x-1)^{k} Then the maximum value of k in this case is

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