Question

How to split large numbers easily for factoring the middle term?

score 1.5k · Answer 1 · 2026-04-10 14:54:29

1.5k

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How to split large numbers easily for factoring the middle term?

Published on 10 Apr 2026 - 14:54

score 581 · Answer 2 · 2026-04-16 04:27:19

581

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Algorithmic simplification of expressions with $\arctan$, e.g. $2\arctan\frac{5-\sqrt2}{5+\sqrt2}=3\arctan\frac{1}{2\sqrt2}$.

Published on 16 Apr 2026 - 4:27

score 522 · Answer 3 · 2026-04-15 03:25:15

The only factor that is common to 200 and an integer n is 1. When $n/200$ what is the minimum number of digits to the right of the decimal point?

score 255 · Answer 4 · 2026-04-12 12:39:57

255

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Fermat's Last Theorem: Complex Polynomials Proof

Published on 12 Apr 2026 - 12:39

score 379 · Answer 5 · 2026-04-15 10:04:00

379

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Factor simple cubic polynomial $ax^3 + cx + d = 0$

Published on 15 Apr 2026 - 10:04

score 66 · Answer 6 · 2026-04-16 06:57:03

66

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Factor $t^3-6t^2+9t-4$

Published on 16 Apr 2026 - 6:57

score 549 · Answer 7 · 2026-04-16 03:48:45

549

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Prove $x^4-6x^2+4$ is irreducible

Published on 16 Apr 2026 - 3:48

score 51 · Answer 8 · 2026-04-17 13:54:17

51

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Find GCD of two polynomials: $x^5 + 4x^4 + 3x^3 + x^2 + 4$ and $x^4 + 4x^3 + 4x^2 + 4$ in field $\mathbb{F}_3$ and in field $\mathbb{Q}$

Published on 17 Apr 2026 - 13:54

score 216 · Answer 9 · 2026-04-16 12:16:50

216

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Find the values of $x$ which will make the following expression a perfect square: $x^4+ 6x^3+13x^2+13x-1$.

Published on 16 Apr 2026 - 12:16

score 76 · Answer 10 · 2026-03-25 16:06:29

76

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How does one write the factorization of a general multivariable polynomial?

Published on 25 Mar 2026 - 16:06

score 546 · Answer 11 · 2026-04-15 18:09:34

546

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Prove that there are infinitely many pairs of positive integer $(p,q)$ such that given functions have distinct integer roots

Published on 15 Apr 2026 - 18:09

score 281 · Answer 12 · 2026-04-16 14:39:46

281

Views

Values of $a$ such that $x^5-x-a$ has quadratic factor

Published on 16 Apr 2026 - 14:39

score 86 · Answer 13 · 2026-04-14 08:25:47

86

Views

How do you factorise $12^n - 4^n - 3^n +1$?

Published on 14 Apr 2026 - 8:25

score 46 · Answer 14 · 2026-04-11 13:21:31

46

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Irreducibility over $\mathbb{Z}_3$

Published on 11 Apr 2026 - 13:21

score 226 · Answer 15 · 2026-04-16 17:15:21

226

Views

Easy way to see that $(x^2 + 5x + 4)(x^2 + 5x + 6) - 48 = (x^2 + 5x + 12)(x^2 + 5x - 2)$?

Published on 16 Apr 2026 - 17:15

List Question

How to split large numbers easily for factoring the middle term?

Algorithmic simplification of expressions with $\arctan$, e.g. $2\arctan\frac{5-\sqrt2}{5+\sqrt2}=3\arctan\frac{1}{2\sqrt2}$.

The only factor that is common to 200 and an integer n is 1. When $n/200$ what is the minimum number of digits to the right of the decimal point?

Fermat's Last Theorem: Complex Polynomials Proof

Factor simple cubic polynomial $ax^3 + cx + d = 0$

Factor $t^3-6t^2+9t-4$

Prove $x^4-6x^2+4$ is irreducible

Find GCD of two polynomials: $x^5 + 4x^4 + 3x^3 + x^2 + 4$ and $x^4 + 4x^3 + 4x^2 + 4$ in field $\mathbb{F}_3$ and in field $\mathbb{Q}$

Find the values of $x$ which will make the following expression a perfect square: $x^4+ 6x^3+13x^2+13x-1$.

How does one write the factorization of a general multivariable polynomial?

Prove that there are infinitely many pairs of positive integer $(p,q)$ such that given functions have distinct integer roots

Values of $a$ such that $x^5-x-a$ has quadratic factor

How do you factorise $12^n - 4^n - 3^n +1$?

Irreducibility over $\mathbb{Z}_3$

Easy way to see that $(x^2 + 5x + 4)(x^2 + 5x + 6) - 48 = (x^2 + 5x + 12)(x^2 + 5x - 2)$?

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