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Examples of a UFDs without factoring algorithms?

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#abstract-algebra #factoring #unique-factorization-domains
138
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Using the fact that $n^3 + 5n$ is divisible by $6$, infer that $n^4 - 2n^3 + 11n^2 + 14n$ is always divisible by $24$

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#elementary-number-theory #divisibility #factoring
132
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How can I factor $x^6+5x^3+8$?

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#algebra-precalculus #elementary-number-theory #factoring
1.7k
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Computing square roots implies factoring $n = pq$

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#group-theory #factoring #cryptography
202
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Solve for x: $(x^2-3x+1)^2-3(x^2-3x+1)+1=x$

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#functions #roots #factoring
143
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Number of factors in $972$

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#factoring
5.2k
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Factor $(x+1)(x+2)(x+3)(x+4)-24$

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#polynomials #factoring
2.2k
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Sum of factors of a number prime

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#number-theory #prime-numbers #puzzle #factoring
30
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find the factorization for a compex polynomial

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#analysis #polynomials #factoring
1.3k
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Finding a linear factor and fully factorising polynomials

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#algebra-precalculus #polynomials #factoring
85
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How can we factor $ q^4 + q^2 + 1$

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#elementary-number-theory #factoring
39
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Factoring a complex number

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#complex-analysis #complex-numbers #factoring
96
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Find all real solutions of this equation $x^2=2y-1$,$x^4+y^4=2$.

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#factoring
288
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How many ways can 15000 be written as the product of 3 integers?

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#combinatorics #factoring
107
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factrorize $-a^3+a^2b+a^2c+ab^2-2abc+ac^2-b^3+b^2c+bc^2-c^3$

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#factoring

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