MHB Solve Part (b) of Nonzero Polynomials | Help Needed

  • Thread starter Thread starter Joe20
  • Start date Start date
  • Tags Tags
    Polynomials
Joe20
Messages
53
Reaction score
1
Hi all, I have solved part (a) which require verification if it is correct.

However, for part b, I am not sure how to do. Appreciate your help. Thank you.
 

Attachments

  • q1.png
    q1.png
    12.4 KB · Views: 107
  • Webp.net-resizeimage.q1.jpg
    Webp.net-resizeimage.q1.jpg
    83 KB · Views: 102
Physics news on Phys.org
Hint: fundamental theorem of algebra, I think. What would such a polynomial have to look like?
 

Similar threads

I Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals
  • · Replies 0 ·
Replies
0
Views
2K
I How to show ##p(x)=g(x)x\pm 1\in\Bbb{Q}[x]## is irreducible in ##\Bbb{Q}_{\Bbb{Z}}[x]##?
  • · Replies 48 ·
2
Replies
48
Views
4K
MHB Zero divisor for polynomial rings
  • · Replies 1 ·
Replies
1
Views
2K
MHB Ideals and Ker(f) Solution for (a), (b), and (c)
  • · Replies 12 ·
Replies
12
Views
2K
I Want to understand how to express the derivative as a matrix
  • · Replies 8 ·
Replies
8
Views
2K
MHB Orthogonal Complement of Polynomial Subspace?
  • · Replies 2 ·
Replies
2
Views
2K
I Matrix rank in terms of determinant polynomial
  • · Replies 14 ·
Replies
14
Views
3K
MHB Help with Part (a) & (b) of Question - Appreciate Assistance!
  • · Replies 1 ·
Replies
1
Views
1K
MHB What Are the Possible Jordan Forms and Characteristic Polynomial of T?
  • · Replies 1 ·
Replies
1
Views
2K
I Need help solving for X in third order polynomial
  • · Replies 15 ·
Replies
15
Views
3K