Enter \(p\) for the ring \(\mathbb{Z}_p[x]\)
\(p\):

Enter \(f(x)\), up to degree 5 (For example, if you want to enter \(4x^3+3x^2+x+4\), please enter 4x^3+3x^2+x+4. Note that no space is allowed):
\(f(x)\):

You can enter the factors of \(f(x)\) to calcultate \(f(x)\):
factors: 



Enter another polynomial \(g(x)\) to calculate its order. Note that no space is allowed.
\(g(x)\):

You can enter the factors of \(g(x)\) to calculate \(g(x)\):
factors: 

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Order of \(g(x)\) in \(\mathbb{Z}_p[x]/\langle f(x)\rangle\):

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Click the button below to compute the possible orders of all elements of \(Z_p[x]/\langle f(x)\rangle\) with multiplicity

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Show the elements of a specific order:
order:

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