If 1 is a zero of the polynomial p(x) = ax² – 3(a – 1) x – 1, then find the value of a.
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p(x) = ax² – 3(a – 1) x – 1
x = 1
0 = a (1)^2 - 3 (a - 1) 1 - 1
a - 3 a + 3 - 1 = 0
- 2 a = - 2
a = 1
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