List questions from polynomials

Published on 16 Apr 2026 - 0:35

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Solution mod 2 of polynomial equation

Published on 14 Apr 2026 - 15:59

107

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Calculate $\frac{a^8 + b^8}{a^8 - b^8} + \frac{a^8 - b^8}{a^8 + b^8}$ based on $\frac{a^2 + b^2}{a^2 - b^2} + \frac{a^2 - b^2}{a^2 + b^2}$.

Published on 15 Apr 2026 - 15:46

79

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Elimination of $x,y,z$ to find relation between $a,b,c$ from some simultaneous equations

Published on 11 Apr 2026 - 10:38

566

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Condition of complex roots on a quartic equation

Published on 13 Apr 2026 - 6:44

69

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Prove that $x_1 + x_2 = y_1 + y_2 = z_1 + z_2$.

Published on 16 Apr 2026 - 20:52

84

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Proving results on quadratic equations

Published on 13 Apr 2026 - 23:26

564

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If $a$ and $b$ are algebraic, then $\frac ab$ is algebraic

Published on 09 Apr 2026 - 8:08

365

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positive (negative) intervals for polynomials with complex roots

Published on 12 Apr 2026 - 16:41

44

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Prove that $\mathbb{Q}[t] /(f)$ is a principal ideal ring

Published on 16 Apr 2026 - 2:44

196

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Solve $x^2y^2 - 4x^2y + y^3 + 4x^2 - 3y^2 + 1 = 0$ over the integers.

Published on 17 Apr 2026 - 6:31

254

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Finding solutions to a system of equations using elementary symmetric polynomials

Published on 12 Apr 2026 - 23:48

97

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Solve $(y^2 + xy)(x^2 - x + 1) = 3x - 1$ over the integers.

Published on 17 Apr 2026 - 10:33

418

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Finding unknowns in polynomial with two factors and remainder.

Published on 12 Apr 2026 - 8:54

63

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Basis of subspace that consists of polynomials that are divisible by $x^2+x+\overline{1}$

Published on 16 Apr 2026 - 3:35

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Bounding the space of translation invariant type polynomials

Solution mod 2 of polynomial equation

Calculate $\frac{a^8 + b^8}{a^8 - b^8} + \frac{a^8 - b^8}{a^8 + b^8}$ based on $\frac{a^2 + b^2}{a^2 - b^2} + \frac{a^2 - b^2}{a^2 + b^2}$.

Elimination of $x,y,z$ to find relation between $a,b,c$ from some simultaneous equations

Condition of complex roots on a quartic equation

Prove that $x_1 + x_2 = y_1 + y_2 = z_1 + z_2$.

Proving results on quadratic equations

If $a$ and $b$ are algebraic, then $\frac ab$ is algebraic

positive (negative) intervals for polynomials with complex roots

Prove that $\mathbb{Q}[t] /(f)$ is a principal ideal ring

Solve $x^2y^2 - 4x^2y + y^3 + 4x^2 - 3y^2 + 1 = 0$ over the integers.

Finding solutions to a system of equations using elementary symmetric polynomials

Solve $(y^2 + xy)(x^2 - x + 1) = 3x - 1$ over the integers.

Finding unknowns in polynomial with two factors and remainder.

Basis of subspace that consists of polynomials that are divisible by $x^2+x+\overline{1}$

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