There is a polynomial which, when multiplied by x^2 + 2x + 3, gives 2x^5 + 3x^4 + 5x^3 + 2x^2 + 9x + 9. What is that polynomial?
+204 Just divide
2x^3 - x^2 + x + 3
x^2 + 2x + 3 [ 2x^5 + 3x^4 + 5x^3 + 2x^2 + 9x + 9 ]
2x^5 + 4x^4 + 6x^3
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-x^4 - x^3 + 2x^2
-x^4 - 2x^3 - 3x^2
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x^3 + 5 x^2 + 9x
x^3 + 2 x^2 + 3x
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3x^2 + 6x + 9
3x^2 + 6x + 9
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