List questions from polynomials

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Evaluate the constant term of $P(x-1)$ if the remainder of the division of $P(x)$ by $x-3$ is $18$ and $P(x+1) = (x^2 -4)Q(x)+3ax+6$

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Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

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Proof for a prime number equation

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Factorise $x^n + 1$

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Why not consider $a<0, k<0$ case while factoring this polynomial using method of undetermined coefficients?

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On $\mathbb{Q}[x]$ find a generator of $(x^7+2x^4+x^3+x+3, x^4+1)$

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Find $\prod_{j = 1, j \ne k}^{n} \left( e^{\frac{(2k - 1)i \pi}{n}} - e^{\frac{(2j - 1)i \pi}{n}} \right)$

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How can the polynomial $x^7+1$ be factored in $\mathbb F_2$?

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How can i find a inverse of a polynomial in a quotient ring?

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In linear interpolation, what exactly is $\frac{x-x_i}{x_k-x_i}$ in geometric terms?

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List Question

Least Squares : Approximation of cubic polynomial

Limit to infinity of polynomial fraction

Solve the magnitudes of the solutions

A problem of factoring a polynomial with a hint

Evaluate the constant term of $P(x-1)$ if the remainder of the division of $P(x)$ by $x-3$ is $18$ and $P(x+1) = (x^2 -4)Q(x)+3ax+6$

Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

Proof for a prime number equation

Finding coefficients of a polynomial with minimal queries

Factorise $x^n + 1$

Why not consider $a<0, k<0$ case while factoring this polynomial using method of undetermined coefficients?

On $\mathbb{Q}[x]$ find a generator of $(x^7+2x^4+x^3+x+3, x^4+1)$

Find $\prod_{j = 1, j \ne k}^{n} \left( e^{\frac{(2k - 1)i \pi}{n}} - e^{\frac{(2j - 1)i \pi}{n}} \right)$

How can the polynomial $x^7+1$ be factored in $\mathbb F_2$?

How can i find a inverse of a polynomial in a quotient ring?

In linear interpolation, what exactly is $\frac{x-x_i}{x_k-x_i}$ in geometric terms?

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