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When doing synthetic division, you have to replace a 0 with any variable that is not present in decending order. Because there are 3 terms, the highest exponent has to be 2 We can start from there
The first term is a 3 so it has to begin with 3x^2
Because the 0 is replacing the middle term rather than the last term, the answer has to be: A 3x^2 + 0x -2 Does that make sense?
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