If (x-1) is a factor of ax^3+2x^2-x+3a, then find the value of a.
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Answer:
x-1 = 0
x = 1
ax^3+2x^2- x + 3a
a(-1)^3 + 2(-1)^2- (-1) + 3a
-1 + 2 +1 + 3a
2 + 3a = 0
3a = -2
a = -2/3
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