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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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Bivariate polynomial divisibility test of Spielman
If $E(x_i,y)$ divides $P(x_i, y)$ in the ring $k[y]$ this by definition means there exist a polynomial $G(y) \in k[y]$ such that $P(x_i, y) = G(y)E(x_i, y)$
Let $G(y) = a_0 + a_1 y + \dots + a_l y^l, …