A) \[P(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+.....+{{a}_{n}}{{x}^{n}}\]
B) \[{{a}_{0}},{{a}_{1}},{{a}_{2}},.....,{{a}_{n}}\]
C) \[{{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+.....+{{a}_{n}}{{x}^{n}}\]
D) \[{{a}_{0}},{{a}_{1}},{{a}_{2}}......{{a}_{n}}\]
Correct Answer: A
Solution :
The given equations are \[\left( 3+\frac{5}{x} \right)\left( 9-\frac{15}{x}+\frac{25}{{{x}^{2}}} \right)\] ?.(1) \[x=1\] ?.(2) Adding the equations (1) and (2), we have \[2x=3\] \[\Rightarrow \]\[x=\frac{3}{2}\] Substituting this value for x in the equation (1), we get \[\frac{3}{2}+y=2\]\[4(x+y)\]\[y=2-\frac{3}{2}=\frac{1}{2}.\]
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