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Approximate dependence of polynomial roots on coefficients

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#polynomials #approximation
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How was the quadratic formula created?

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#algebra-precalculus #polynomials #roots #quadratics
35
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Symmetry of 2-nd degree polynomials

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#polynomials
112
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Does the assumption $0^0=1$ ever lead to a contradiction or conflict with another useful assumption?

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#elementary-number-theory #polynomials #definition #convention
45
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Is my understanding about a lemma regarding ring of polynomials correct?

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#abstract-algebra #polynomials #ring-theory
55
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prove that $\frac{d (\ln F(t))}{dt}=\sum_{k>0}{(-1)^{k+1}(x_1^k+...+x_n^k)}t^{k-1}$

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#real-analysis #abstract-algebra #polynomials #symmetric-polynomials
130
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Quadratic equation including Arithmetic Progression

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#polynomials #quadratics #arithmetic-progressions
186
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Finding the dimension of a multivariable polynomial quotient ring

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#linear-algebra #algebraic-geometry #polynomials
29
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Irreducible $f\in F[x]$ has a root in $F[x]/\langle f \rangle$

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#abstract-algebra #polynomials #field-theory #roots
38
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can we take the $\alpha$ out of this equation $C = \frac{\alpha}{f_0} + \frac{\alpha}{f_i \times f_0}$

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#polynomials
152
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Why do we work with polynomials over fields instead of polynomials over rings?

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#abstract-algebra #polynomials
788
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Interpolation of a rational function

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#polynomials #finite-fields #interpolation #rational-functions
303
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Least Squares Cubic Approximation

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#linear-algebra #polynomials #approximation
220
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Gauss' Lemma - Proof

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#abstract-algebra #proof-verification #polynomials
80
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Second degree equation solutions involving and / Or

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#polynomials

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