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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
The values of bb and cc for which the identity f(x+1)−f(x)=8x+3f(x+1)-f(x)=8 x+3 is satisfied, where f(x)=bx2+cx+df(x)=b x^2+c x+d are
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Correct option: B
b=4,c=−1b=4, c=-1
Option B (b=4,c=−1b=4, c=-1) is correct because substituting f(x)=bx2+cx+df(x)=bx^2+cx+d into f(x+1)−f(x)=8x+3f(x+1)-f(x)=8x+3 and solving for bb and cc yields these values.

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