Let \( P(x) \) be a polynomial of degree 4 , vanishes at \( x=-1 \) and has local maximum/local ....

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Let \( P(x) \) be a polynomial of degree 4 , vanishes at
\( \mathrm{P} \)
\( x=-1 \) and has local maximum/local minimum at
W
\( x=1,2,3 \). Also \( \int_{-2}^{2} P(x) d x=\frac{-1348}{15} \)
The \( y \)-intercept of the tangent to the curve \( y=P(x) \) at \( x=-1 \) equals:
(1) 24
(2) -8
(3) -96
(4) 34


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