Question

What is the value of $p^2q + q^2r + r^2p$ for the given cubic equation?

score 384 · Answer 1 · 2020-06-23 07:32:09

384

Views

What is the value of $p^2q + q^2r + r^2p$ for the given cubic equation?

Published on 23 Jun 2020 - 7:32

score 27 · Answer 2 · 2020-06-26 12:21:07

27

Views

Find b and d in cubic equation

Published on 26 Jun 2020 - 12:21

score 118 · Answer 3 · 2020-07-04 12:04:57

118

Views

solution to cube root of finite field

Published on 04 Jul 2020 - 12:04

score 410 · Answer 4 · 2020-07-10 07:03:55

410

Views

Prove that the roots of $x^3+ax^2+bx+c=0$ form an arithmetic sequence iff $2a^3+27c=9ab$.

Published on 10 Jul 2020 - 7:03

score 2.2k · Answer 5 · 2020-07-11 15:19:21

If $\alpha,\beta,\gamma$ are the roots of $x^3+x+1=0$, then find the equation whose roots are: $(\alpha-\beta)^2,(\beta-\gamma)^2,(\gamma-\alpha)^2$

score 205 · Answer 6 · 2026-03-25 11:54:05

205

Views

In characteristic 2 the splitting field of a cubic has degree 6

Published on 25 Mar 2026 - 11:54

score 66 · Answer 7 · 2020-07-17 11:56:07

66

Views

Solving $x^3-(2+2n)x^2-(4n+1)x+(2m^2-2n)=0$ for real $m$ and $n$

Published on 17 Jul 2020 - 11:56

score 90 · Answer 8 · 2020-07-18 07:15:53

90

Views

System of Equations $ 2x ^ 3 + x + 2y - y ^ 3 = 0$, $4x ^ 3 - 2xy + 3y ^ 2 = 10$

Published on 18 Jul 2020 - 7:15

score 154 · Answer 9 · 2020-07-19 00:09:57

154

Views

Using partial information to factor $x^6+3x^5+5x^4+10x^3+13x^2+4x+1.$

Published on 19 Jul 2020 - 0:09

score 898 · Answer 10 · 2020-07-27 11:33:41

898

Views

Given that $f(x)$ is a polynomial of degree $3$, and its remainders are $2x - 5$ and $-3x + 4$ when divided by $x^2 - 1$ and $x^2 - 4$ respectively.

Published on 27 Jul 2020 - 11:33

score 460 · Answer 11 · 2020-07-27 12:33:13

460

Views

When $f(x) = x^3 + 2x^2 + 3x + 2$ is divided by $g(x)$ which is a polynomial with integer coefficient, the quotient and remainder are both $h(x)$ .

Published on 27 Jul 2020 - 12:33

score 324 · Answer 12 · 2026-03-26 03:01:41

324

Views

Is it true that any two of the graphs of cubic functions are similar?

Published on 26 Mar 2026 - 3:01

score 2.9k · Answer 13 · 2016-07-21 07:53:18

2.9k

Views

If $a>b>0$ and $a^3 +b^3 +27ab=729$ then the quadratic equation $ax^2+bx-9=0$ has roots $P,Q(P<Q)$. Find the value of $4Q-aP$?

Published on 21 Jul 2016 - 7:53

score 1k · Answer 14 · 2016-07-25 16:08:27

1k

Views

The cubic equation $x^3-5x^2+6x-3 = 0$ has solutions $\alpha$, $\beta$ and $\gamma$.

Published on 25 Jul 2016 - 16:08

score 200 · Answer 15 · 2016-07-27 23:40:10

200

Views

Formula for solutions of a cubic equation

Published on 27 Jul 2016 - 23:40

List Question

What is the value of $p^2q + q^2r + r^2p$ for the given cubic equation?

Find b and d in cubic equation

solution to cube root of finite field

Prove that the roots of $x^3+ax^2+bx+c=0$ form an arithmetic sequence iff $2a^3+27c=9ab$.

If $\alpha,\beta,\gamma$ are the roots of $x^3+x+1=0$, then find the equation whose roots are: $(\alpha-\beta)^2,(\beta-\gamma)^2,(\gamma-\alpha)^2$

In characteristic 2 the splitting field of a cubic has degree 6

Solving $x^3-(2+2n)x^2-(4n+1)x+(2m^2-2n)=0$ for real $m$ and $n$

System of Equations $ 2x ^ 3 + x + 2y - y ^ 3 = 0$, $4x ^ 3 - 2xy + 3y ^ 2 = 10$

Using partial information to factor $x^6+3x^5+5x^4+10x^3+13x^2+4x+1.$

Given that $f(x)$ is a polynomial of degree $3$, and its remainders are $2x - 5$ and $-3x + 4$ when divided by $x^2 - 1$ and $x^2 - 4$ respectively.

When $f(x) = x^3 + 2x^2 + 3x + 2$ is divided by $g(x)$ which is a polynomial with integer coefficient, the quotient and remainder are both $h(x)$ .

Is it true that any two of the graphs of cubic functions are similar?

If $a>b>0$ and $a^3 +b^3 +27ab=729$ then the quadratic equation $ax^2+bx-9=0$ has roots $P,Q(P<Q)$. Find the value of $4Q-aP$?

The cubic equation $x^3-5x^2+6x-3 = 0$ has solutions $\alpha$, $\beta$ and $\gamma$.

Formula for solutions of a cubic equation

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