Use synthetic division to divide $x^4-3x^3+4x^2+11x-9$ by $x^2-3x+2$ and find the remainder.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Use synthetic division to divide $x^4-3x^3+4x^2+11x-9$ by $x^2-3x+2$ and find the remainder.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
17x-13
Use synthetic division to divide $x^4-3x^3+4x^2+11x-9$ by $x^2-3x+2$ and find the remainder.
train