Latest Book Aptitude Question SOLUTION: For what value of \'k\', the G.C.D. of x^2+x-(2k+2) and 2x^2+kx-12 is x+4?

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(#M40034363) BOOK question Keep an EYE

For what value of 'k', the G.C.D. of x^2+x-(2k+2) and 2x^2+kx-12 is x+4?

Asked In Book (10 years ago)

Solved Ann Theressa Read Solution (2)

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Read Solution (2) :

Saraswathy  (10 years ago)

i think k=5

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Ann Theressa  (10 years ago)

k = 5

Since (x+4) is the G.C.D of x^2+x-(2k+2) and 2x^2+kx-12
Remainder of x^2+x-(2k+2)/ (x+4) and 2x^2+kx-12/(x+4) = 0

ie, Remainder of x^2+x-(2k+2)/ (x+4) = 12 - (2k+2)
====> 12 - (2k+2) = 0
2k + 2 =12
2k = 10
k = 5

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