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Quartic Polynomial Evaluation

Let $ p(x) $ be a monic, quartic polynomial, such that $ p(1) = 3, $ $ p(3) = 11, $ and $ p(5) = 27 $. Find \[p(-2) + 7p(6).\]

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$\frac{a}{b}$
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0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$