A) \[{{y}^{2}}+4y+1\]
B) \[{{y}^{2}}-4y+1\]
C) \[{{y}^{2}}+4y-1\]
D) \[{{y}^{2}}-4y-1\]
E) None of these
Correct Answer: B
Solution :
Explanation Option [b] is correct. \[y-2\overset{{{y}^{2}}-4y+1}{\overline{\left){\begin{align} & {{y}^{3}}-6{{y}^{2}}+9y-2 \\ & \underline{\pm {{y}^{3}}\mp 2{{y}^{2}}} \\ & \,\,\,\,\,\,\,\,\,\,-4{{y}^{2}}+9y \\ & \,\,\,\,\,\,\,\,\,\underline{\mp 4{{y}^{2}}\pm 8y} \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,y-2 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{\pm y\mp 2} \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \\ \end{align}}\right.}}\]
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