Question

$ax^2+bx+c $ with integer a,b,c can always be factored with integer (!) coefficients if its discriminant is not irrational?

score 42 · Answer 1 · 2026-03-29 12:41:14

42

Views

$ax^2+bx+c $ with integer a,b,c can always be factored with integer (!) coefficients if its discriminant is not irrational?

Published on 29 Mar 2026 - 12:41

score 390 · Answer 2 · 2026-04-02 15:48:55

390

Views

Challenging probability problem

Published on 02 Apr 2026 - 15:48

score 1.6k · Answer 3 · 2019-04-28 05:55:37

1.6k

Views

Find the number of real roots of the equation $54x^4-36x^3+18x^2-6x+1=0$

Published on 28 Apr 2019 - 5:55

score 453 · Answer 4 · 2026-04-01 10:59:47

453

Views

Can origami math solve polynomial equations of degree greater than 3?

Published on 01 Apr 2026 - 10:59

score 77 · Answer 5 · 2019-04-28 18:06:30

77

Views

Solve in $C$ : $P(z)=z^4+2z^3+5z^2+4z+1=0$ where $P(i-\frac{1}{2}+i\frac{\sqrt 3}{2})=0$

Published on 28 Apr 2019 - 18:06

score 127 · Answer 6 · 2026-03-29 08:16:11

127

Views

Is it true that irrational roots of rational polynomial comes in pairs? How to prove this? If not give an example please.

Published on 29 Mar 2026 - 8:16

score 57 · Answer 7 · 2019-04-28 22:41:48

57

Views

Dealing with an inequality that involves a root on one side

Published on 28 Apr 2019 - 22:41

score 118 · Answer 8 · 2026-03-28 04:53:19

118

Views

Writing $3.8473221018630726$ in the form $\sqrt[3]{a}+\sqrt[3]{b}+\sqrt[3]{c}$.

Published on 28 Mar 2026 - 4:53

score 42 · Answer 9 · 2019-04-29 14:16:31

42

Views

About Laguerre's method, what is $n$?

Published on 29 Apr 2019 - 14:16

score 105 · Answer 10 · 2019-04-30 10:24:42

105

Views

What is the least number of roots does this equation have $x^{10} - 4x^6 + x^4- 2x -3 = 0$

Published on 30 Apr 2019 - 10:24

score 57 · Answer 11 · 2019-05-01 07:44:39

57

Views

If $f$ is continuously differentiable at $a$ with $f(a)=0$ and $f'(a)\ne0$, then $a$ is an isolated root of $f$

Published on 01 May 2019 - 7:44

score 71 · Answer 12 · 2019-05-01 20:14:20

71

Views

How to find the $x$ values of $2\cos(2x)-2\sin(x)=0$?

Published on 01 May 2019 - 20:14

score 147 · Answer 13 · 2019-05-01 21:43:26

147

Views

How do I make a function that generates nth natural number that isn't a perfect square?

Published on 01 May 2019 - 21:43

score 2.4k · Answer 14 · 2026-03-29 13:40:33

2.4k

Views

How was the quadratic formula created?

Published on 29 Mar 2026 - 13:40

score 27 · Answer 15 · 2019-05-02 15:39:16

27

Views

Irreducible $f\in F[x]$ has a root in $F[x]/\langle f \rangle$

Published on 02 May 2019 - 15:39

List Question

$ax^2+bx+c $ with integer a,b,c can always be factored with integer (!) coefficients if its discriminant is not irrational?

Challenging probability problem

Find the number of real roots of the equation $54x^4-36x^3+18x^2-6x+1=0$

Can origami math solve polynomial equations of degree greater than 3?

Solve in $C$ : $P(z)=z^4+2z^3+5z^2+4z+1=0$ where $P(i-\frac{1}{2}+i\frac{\sqrt 3}{2})=0$

Is it true that irrational roots of rational polynomial comes in pairs? How to prove this? If not give an example please.

Dealing with an inequality that involves a root on one side

Writing $3.8473221018630726$ in the form $\sqrt[3]{a}+\sqrt[3]{b}+\sqrt[3]{c}$.

About Laguerre's method, what is $n$?

What is the least number of roots does this equation have $x^{10} - 4x^6 + x^4- 2x -3 = 0$

If $f$ is continuously differentiable at $a$ with $f(a)=0$ and $f'(a)\ne0$, then $a$ is an isolated root of $f$

How to find the $x$ values of $2\cos(2x)-2\sin(x)=0$?

How do I make a function that generates nth natural number that isn't a perfect square?

How was the quadratic formula created?

Irreducible $f\in F[x]$ has a root in $F[x]/\langle f \rangle$

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