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Problem 14 - Olympiad
Simplify: (3x^2 + 2x - 1) / (x + 1)
A. 3x - 1
B. 3x - 1 - 2/(x+1)
C. 3x + 2
D. 3x - 3
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Correct: B
We can simplify the expression by using polynomial long division or synthetic division. Dividing (3x^2 + 2x - 1) by (x + 1) gives us 3x - 1 as the quotient and -2 as the remainder. So, the result of the division is 3x - 1 - 2/(x+1).