Question

Find all pairs $(m,n)$ such that the quotient $q$ and reminder $r$ of $\frac{m^2+n^2}{m+n}$ satisfies $q^2+r=17$

score 67 · Answer 1 · 2026-04-16 19:06:45

67

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Find all pairs $(m,n)$ such that the quotient $q$ and reminder $r$ of $\frac{m^2+n^2}{m+n}$ satisfies $q^2+r=17$

Published on 16 Apr 2026 - 19:06

score 106 · Answer 2 · 2026-04-17 09:10:09

106

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To Factorise $x^3 +6x^2+13x +4$

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score 42 · Answer 3 · 2026-04-11 09:30:09

42

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Factorizing Equations

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score 101 · Answer 4 · 2026-04-16 06:55:46

101

Views

A factorization of $x^7+x^3+x-1=0$ over rationals

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score 365 · Answer 5 · 2026-04-13 05:41:01

365

Views

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score 74 · Answer 6 · 2026-04-16 12:09:39

74

Views

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score 676 · Answer 7 · 2026-04-09 10:05:13

676

Views

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score 124 · Answer 8 · 2026-04-15 16:08:30

124

Views

How to prove that $x^{2n}+x^n+1$ has a factor $x^2+x+1$ if and only if $n \not\equiv 0 \bmod 3$？

Published on 15 Apr 2026 - 16:08

score 45 · Answer 9 · 2026-04-13 20:45:25

45

Views

How to prove that $\sum_{i=0}^kx^{in}$ have a same factor $P(x)$ if and only if $n \not\equiv 0 \bmod (k+1)$？

Published on 13 Apr 2026 - 20:45

score 263 · Answer 10 · 2026-04-15 23:10:04

263

Views

Solve for $m^3 + m - 10 = 0$

Published on 15 Apr 2026 - 23:10

score 183 · Answer 11 · 2026-04-14 03:06:50

183

Views

Quick way to determine number of integer solutions of $10xy + x + 7y = 2298$?

Published on 14 Apr 2026 - 3:06

score 109 · Answer 12 · 2026-04-14 03:06:29

109

Views

Largest Degree of the fully factored form of $x^n - 1$

Published on 14 Apr 2026 - 3:06

score 35 · Answer 13 · 2026-04-10 21:53:50

35

Views

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Published on 10 Apr 2026 - 21:53

score 110 · Answer 14 · 2026-04-16 13:55:31

110

Views

I am trying to factor $(a^2 - 2ab + b^2 + 1)$ into $n$ terms for $a$ and $b$.

Published on 16 Apr 2026 - 13:55

score 72 · Answer 15 · 2026-04-13 08:13:57

72

Views

Reducing to 1 in fractions

Published on 13 Apr 2026 - 8:13

List Question

Find all pairs $(m,n)$ such that the quotient $q$ and reminder $r$ of $\frac{m^2+n^2}{m+n}$ satisfies $q^2+r=17$

To Factorise $x^3 +6x^2+13x +4$

Factorizing Equations

A factorization of $x^7+x^3+x-1=0$ over rationals

Silly question about factors. What does it mean to reduce a number by a factor of 10 or 5 and so on?

The Rational Root Theorem for two variables

Help learning and understanding polynomial factorizations

How to prove that $x^{2n}+x^n+1$ has a factor $x^2+x+1$ if and only if $n \not\equiv 0 \bmod 3$？

How to prove that $\sum_{i=0}^kx^{in}$ have a same factor $P(x)$ if and only if $n \not\equiv 0 \bmod (k+1)$？

Solve for $m^3 + m - 10 = 0$

Quick way to determine number of integer solutions of $10xy + x + 7y = 2298$?

Largest Degree of the fully factored form of $x^n - 1$

Formula for working out the greatest power that another number is divisible by

I am trying to factor $(a^2 - 2ab + b^2 + 1)$ into $n$ terms for $a$ and $b$.

Reducing to 1 in fractions

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