Question

Find the cubic polynomial function with two of its zeros: 2 and (-3 +sqrt2) , and a y-intercept of 7.

score 1.2k · Answer 1 · 2018-01-18 22:13:46

1.2k

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Find the cubic polynomial function with two of its zeros: 2 and (-3 +sqrt2) , and a y-intercept of 7.

Published on 18 Jan 2018 - 22:13

score 317 · Answer 2 · 2026-03-22 05:35:59

317

Views

Looking for references about a graphical representation of the set of roots of polynomials depending on a parameter

Published on 22 Mar 2026 - 5:35

score 183 · Answer 3 · 2026-03-19 22:40:48

183

Views

Cubic Discriminant

Published on 19 Mar 2026 - 22:40

score 353 · Answer 4 · 2026-03-18 02:02:11

353

Views

Inequality with $ab+bc+ca=3$

Published on 18 Mar 2026 - 2:02

score 99 · Answer 5 · 2026-03-22 12:17:49

99

Views

Find suitable scaling exponent for characteristic polynomial and its largest root

Published on 22 Mar 2026 - 12:17

score 145 · Answer 6 · 2026-03-20 11:44:08

145

Views

For a non diagnolizable Matrix $A_{n\times n}$ exists a non zero polynomial $p(t)$ of degree $< n$ s.t. $(p(A))^2=0$

Published on 20 Mar 2026 - 11:44

score 172 · Answer 7 · 2026-03-20 07:08:18

172

Views

An algebraic inequality involving $\sum_{cyc} \frac1{(a+2b+3c)^2}$

Published on 20 Mar 2026 - 7:08

score 130 · Answer 8 · 2026-03-22 10:40:23

130

Views

Show that if $x+y+z=x^2+y^2+z^2=x^3+y^3+z^3=1$ then $xyz=0$

Published on 22 Mar 2026 - 10:40

score 411 · Answer 9 · 2026-03-22 13:48:07

411

Views

Set of polynomials linearly dependent

Published on 22 Mar 2026 - 13:48

score 485 · Answer 10 · 2026-03-17 22:10:27

485

Views

Distinct terms in a binomial expansion

Published on 17 Mar 2026 - 22:10

score 987 · Answer 11 · 2018-01-19 22:03:36

987

Views

The kernel of Veronese Embedding $\phi: k[w,x,y,z]\to k[a^3,a^2b,ab^2,b^3]$ is $(wz−xy, wy−x^2, xz−y^2)$.

Published on 19 Jan 2018 - 22:03

score 370 · Answer 12 · 2026-03-17 16:00:28

370

Views

Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.

Published on 17 Mar 2026 - 16:00

score 53 · Answer 13 · 2026-03-20 12:04:23

53

Views

undiagonizable matrix and annhilating polynom claims

Published on 20 Mar 2026 - 12:04

score 4.1k · Answer 14 · 2026-03-22 10:29:40

4.1k

Views

Zero function implies zero polynomial.

Published on 22 Mar 2026 - 10:29

score 116 · Answer 15 · 2026-03-17 12:59:10

116

Views

Is it true that evaluating a polynomial with integer coefficients at $e$, uniquely defines it?

Published on 17 Mar 2026 - 12:59

List Question

Find the cubic polynomial function with two of its zeros: 2 and (-3 +sqrt2) , and a y-intercept of 7.

Looking for references about a graphical representation of the set of roots of polynomials depending on a parameter

Cubic Discriminant

Inequality with $ab+bc+ca=3$

Find suitable scaling exponent for characteristic polynomial and its largest root

For a non diagnolizable Matrix $A_{n\times n}$ exists a non zero polynomial $p(t)$ of degree $< n$ s.t. $(p(A))^2=0$

An algebraic inequality involving $\sum_{cyc} \frac1{(a+2b+3c)^2}$

Show that if $x+y+z=x^2+y^2+z^2=x^3+y^3+z^3=1$ then $xyz=0$

Set of polynomials linearly dependent

Distinct terms in a binomial expansion

The kernel of Veronese Embedding $\phi: k[w,x,y,z]\to k[a^3,a^2b,ab^2,b^3]$ is $(wz−xy, wy−x^2, xz−y^2)$.

Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.

undiagonizable matrix and annhilating polynom claims

Zero function implies zero polynomial.

Is it true that evaluating a polynomial with integer coefficients at $e$, uniquely defines it?

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