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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
Let p(x)p(x) be a real polynomial of degree 4 having extreme values at x=1x=1 and x=2x=2. If lim⁡x→0p(x)x2=1\lim \limits_{{x \rightarrow 0}} \frac{p(x)}{x^2}=1, then p(4)p(4) is equal to
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Correct option: B
16
Option B (16) is correct because after finding the polynomial p(x) using the given conditions, substituting x=4 yields the correct value.

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