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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1
The polynomials P(x)=kx3+3x2−3P(x)=k x^3+3 x^2-3 and Q(x)=2x3−5x+kQ(x)=2 x^3-5 x+k, when divided by (x−4)(x-4) leave the same remainder, then kk is equal to:
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Correct option: B
1
Option B (1) is correct because when the polynomials are divided by (x-4), setting the remainders equal and solving for k results in k=1.

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