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Your question looks like: x7 - 9x4 + 3x2 + 3. This problem cannot be solved using synthetic division alone--you need to know what to divide by.
There are some ways to find possible solutions to try dividing by (Rational Roots Test & Descartes' Rule of Signs), but I've done that for this problem, and none of the solutions are rational. I feel like you left out part of the question.
What else can I help you with?
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