List questions from polynomials

Published on 06 Apr 2026 - 1:15

436

Views

Show that polynomial $X^{n+1}-aX^n+aX-1$ has only roots of module $1$

Published on 09 Nov 2018 - 21:07

241

Views

Show that $30x^n-91$ does not have rational roots

Published on 01 Apr 2026 - 12:41

168

Views

Prove or Disprove $G(x, y)=G(y,x)$

Published on 25 Mar 2026 - 11:02

59

Views

How do i form a polynomial equation given the details provided?

Published on 10 Nov 2018 - 13:00

974

Views

Prove the equation has at least 3 roots

Published on 10 Nov 2018 - 20:35

43

Views

Solutions to $w_x=CA_x$, $w_y=CA_y$ other than $w=f(A)$ and $C=f'(A)$?

Published on 30 Mar 2026 - 13:04

1.3k

Views

Solve $x^3-x-6=0$

Published on 02 Apr 2026 - 12:21

375

Views

Polynomial division with remainder

Published on 11 Nov 2018 - 10:40

78

Views

For which $k$ can $(x-1)^{k} - (x+1)^{k}$ be divided by $x$?

Published on 27 Mar 2026 - 0:04

405

Views

Show that the set of zero of a polynomial of $n$ variables has dimension $n-1$.

Published on 01 Apr 2026 - 12:40

66

Views

Factoring the polynomial $3(2x+3)^2 + 7(2x+3) - 6$

Published on 28 Mar 2026 - 20:57

122

Views

Bound on difference of roots between two “close” polynomials

Published on 12 Nov 2018 - 6:10

61

Views

How is this type of polynomial $\prod_{i=1}^N (x-i)$ called?

Published on 12 Nov 2018 - 8:35

569

Views

Factorize reciprocal polynomial 4th-order

Published on 12 Nov 2018 - 10:15

List Question

Convert Polynomial to Sum

Show that polynomial $X^{n+1}-aX^n+aX-1$ has only roots of module $1$

Show that $30x^n-91$ does not have rational roots

Prove or Disprove $G(x, y)=G(y,x)$

How do i form a polynomial equation given the details provided?

Prove the equation has at least 3 roots

Solutions to $w_x=CA_x$, $w_y=CA_y$ other than $w=f(A)$ and $C=f'(A)$?

Solve $x^3-x-6=0$

Polynomial division with remainder

For which $k$ can $(x-1)^{k} - (x+1)^{k}$ be divided by $x$?

Show that the set of zero of a polynomial of $n$ variables has dimension $n-1$.

Factoring the polynomial $3(2x+3)^2 + 7(2x+3) - 6$

Bound on difference of roots between two “close” polynomials

How is this type of polynomial $\prod_{i=1}^N (x-i)$ called?

Factorize reciprocal polynomial 4th-order

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