Freeflows

Factorized Polynomial Evaluation

Let \[x^8 + 3x^4 - 4 = p_1(x) p_2(x) \dotsm p_k(x),\]where each non-constant polynomial $ p_i(x) $ is monic with integer coefficients, and cannot be factored further over the integers. Compute $ p_1(1) + p_2(1) + \dots + p_k(1) $.

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

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

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

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