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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1
If P(x)P(x) is polynomial satisfying P(x2)=x2P(x)P\left(x^2\right)=x^2 P(x) and P(0)=−2,P′(3/2)=0P(0)=-2, P^{\prime}(3 / 2)=0 and P(1)=0P(1)=0.
The maximum value of P(x)P(x) is
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Correct option: B
−14-\frac{1}{4}
Option B (−14-\frac{1}{4}) is correct. By using the given conditions to determine the polynomial P(x)P(x), we find its maximum value to be −14-\frac{1}{4}.

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