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Suppose $f(a)=p$, a prime, then $f$ has a t most three distinct zeros.

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#polynomials #proof-writing #prime-numbers #roots
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Number of real roots of a quintic polynomial

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#calculus #derivatives #polynomials #roots #rolles-theorem
213
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Basis of polynomials $R[x]<4$ none degree one

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#linear-algebra #polynomials #vector-spaces
106
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Solving a fourth degree polynomial over C.

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#polynomials #complex-numbers
1.6k
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Factorization of $x^7 - 1$ into irreducible polynomials over $\Bbb{F_2}[x]$

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#polynomials #finite-fields #irreducible-polynomials
30
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Help with linear equation

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#polynomials
46
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prove that equation has only 1 solution

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#calculus #proof-verification #polynomials #cubics
44
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3+ Dimensional Matrices

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#linear-algebra #polynomials #tensor-products #tensors #tensor-rank
98
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How to find the equation of this polynomial

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#algebra-precalculus #polynomials #roots #radicals #quartics
1k
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Irreducibility of $x^5 - 6x^3 +2x^2 - 4x +5$ in $\mathbb Q[x]$

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#abstract-algebra #polynomials #roots #irreducible-polynomials
102
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Does equality of polynomials imply equality of matrix polynomials?

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#linear-algebra #polynomials
125
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Is $\mathbb Z[x]/(x-2)\cong\mathbb Z$?

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#abstract-algebra #proof-verification #polynomials #ring-theory #quotient-spaces
89
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Find coefficients $a,b,c$ and the roots of polynomial: $f(x)=ax^5+3x^4+bx^3+4x^2+3x+c$

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#elementary-number-theory #polynomials
2.2k
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What is the name of a polynomial with 1 as the leading coefficient?

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#polynomials #terminology
38
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Find all $f \in \Bbb Z[x]$ such that $x^6+x^3f''(x)=f(x^3)+x^3$ holds

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#elementary-number-theory #polynomials

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