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If \(p(x)\) be a polynomial of degree three that has a local maximum value 8 at \(x = 1\) and a local minimum value 4 at…

Q1

If \(p(x)\) be a polynomial of degree three that has a local maximum value 8 at \(x = 1\) and a local minimum value 4 at \(x = 2\); then \(p(0)\) is equal to:

[JEE Main 2020, 2 Sep (Shift 1)]

a

\(- 12\)

b

\(- 24\)

c

\(6\)

d

\(12\)

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