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Results tagged with factorization
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user 170939
For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).
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What are the limitations for calculating the inverse of a polynomial with the Lagrange inver...
I have been attempting to produce a series expression for the roots of high degree polynomial using the Lagrange Inversion theorem. I am curious about the statement from the Wikipedia page on Bring Ra …
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Removing intermediate terms from a $10^{\text{th}}$-degree polynomial
When given a tenth degree polynomial
$$f(x)=\sum_{n=0}^{10} a_n x^n$$
I wish to compute an inverse via the Lagrange inversion theorem to produce a generalized hypergeometric sum similar to a Bring ult …
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1
answer
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Factor $\sum_{n=1}^{N} x^n$ [closed]
I am attempting to factor an $N^{\text{th}}$ degree polynomial with coefficients strictly equal to $1$ given by the equation
$$\sum_{n=1}^{N} x^n$$
Although the Galois group for anything beyond a quar …