A) \[\left( -5+\sqrt{5},-5-\sqrt{5} \right)\]
B) \[(1,2)\]
C) \[\left( 3+\sqrt{2},3-\sqrt{2} \right)\]
D) \[\left( 1+\sqrt{2},and1-\sqrt{2} \right)\]
Correct Answer: D
Solution :
(d):\[g(x)=\left[ x-\left( 1+\sqrt{3} \right) \right]\left[ x-\left( 1-\sqrt{3} \right) \right]={{x}^{2}}+2x-2:\] Now,\[\frac{f(x)}{g(x)}:{{x}^{2}}+2x-2){{x}^{4}}-4{{x}^{3}}+{{x}^{2}}+6x+2\](Find quotient q(x).
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