A) \[\left( 2x+5 \right)\left( 3x-2 \right)\]
B) \[\left( 2x+5 \right)\left( 2x+2 \right)\]
C) \[\left( 2x+5 \right)\]
D) \[\left( 2x+2 \right)\left( x-2 \right)\]
Correct Answer: A
Solution :
(a): \[~6{{x}^{2}}+11x-10\] \[=\frac{-11\pm \sqrt{121-4\times 6\times (-10)}}{2\times 6}\] \[=\frac{-11\pm \sqrt{121+240}}{12}\] \[=\frac{-11\pm 19}{12}=\frac{8}{12}\,or\,\frac{-30}{12}\] \[=2/3\,\,or\,\,\frac{-5}{2}\] \[\therefore \left( x-\frac{2}{3} \right)\left( x+\frac{5}{2} \right)=0\] Or \[(3x-2)(2x+5)=0\]
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