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Question

The L.C.M. of 9x2+6x+1,3x2+7x+2 and 2x2+3x2 is  (x+a)(2xb)(3x+c)2. Then the value of abc=?



A

3

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B

6

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C

0

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D

9

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Solution

The correct option is C

0


First expression = 9x2+6x+1=(3x+1)2
Second expression = 3x2+7x+2=3x2+6x+x+2=3x(x+2)+1(x+2)=(3x+1)(x+2)
Third expression= 2x2+3x2=2x2+4xx2=2x(x+2)1(x+2)=(2x1)(x+2)
Required L.C.M. is (x+2)(2x1)(3x+1)2

a=2,b=1,c=1

abc=0


Mathematics

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