:
your answer of : is quite wrong the answer cannot have a term with a 3rd degree in it or we would have an term. So the book either has it wrong or you looked at the wrong problem or there is a typo in the problem you gave us.
x2 +2x - 6
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x2-3x+1 ) x4 - x3 - 9x2 -4
-(x4 -3x3)
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2x3 - 9x2
-(2x3 - 6x2+2x)
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-6x2+ 2x -4
-(-6x2+ 18x-6)
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-16x+2 remainder
Answer: