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If the two expressions x2 – 11x + A and x2 – 14x + 2A have a common factor, find A.

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TCS Other Question

(2^74)+(2^2058)+(2^2n) is a perfect square for which value of n?
A)2010
B)2011
C)2012
D)2100
I have problem With divisibality problems which are asked a lot in TCS can anyone tell me tricks for divisability Factor problem?