A) \[k\left( {{m}^{2}}+3m-\frac{53}{3} \right)\]
B) \[k\left( {{m}^{2}}+9m-41 \right)\]
C) \[k\left( {{m}^{2}}+9m+41 \right)\]
D) \[k\left( {{m}^{2}}-9m-41 \right)\]
Correct Answer: A
Solution :
(a): \[a+b=\frac{-6}{3}=-2:ab=\frac{-11}{3}\] We need \[(2a+1)(2b+1)=4ab+2(a+b)+1\] \[=\frac{-44}{3}+2x-2+1\] Also, \[(2a+1)+(2b+1)=2(a+b)+2=-4+2=-2\] \[\Rightarrow {{m}^{2}}+2m-\frac{53}{3}\]
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