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p(x)\large{p(x)}p(x) is a monic polynomial of degree 4, such that
p(2)=−55p(3)=−181p(4)=−377p(5)=−619.\begin{aligned} p(2)&=-55\\ p(3)&=-181\\ p(4)&=-377\\ p(5)&=-619. \end{aligned}p(2)p(3)p(4)p(5)=−55=−181=−377=−619.
Then what is the value of p(ω)?p(\omega)?p(ω)?
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