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Question

x211x+a and x214x+2a will have a common factor, if a =


A

24

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B

0,24

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C

3,24

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D

0,3

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Solution

The correct option is B

0,24


Exprssions are x211x+a and x214x+2a will have a common factor, then

x222a+14a=xa2a=114+11

x28a=xa=13x2=8a3 and x=a3

(a3)2=8a3a29=8a3 ⇒ a = 0, 24.

Alternate Method : We can check by putting the values of a from the options.


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