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

  • Thread starter Thread starter Joe20
  • Start date Start date
  • Tags Tags
    Polynomials
Click For Summary
The discussion centers on solving part (b) of a problem related to nonzero polynomials, with the user seeking assistance after successfully completing part (a). The fundamental theorem of algebra is suggested as a key concept for approaching part (b). The user expresses uncertainty about the structure of the polynomial required for this part of the problem. Participants are encouraged to provide insights or guidance on how to tackle this specific polynomial challenge. The thread emphasizes the need for clarification on polynomial characteristics in relation to the theorem.
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: 109
  • Webp.net-resizeimage.q1.jpg
    Webp.net-resizeimage.q1.jpg
    83 KB · Views: 103
Physics news on Phys.org
Hint: fundamental theorem of algebra, I think. What would such a polynomial have to look like?
 
Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...
View full post »

Similar threads

Undergrad Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals
  • · Replies 0 ·
Replies
0
Views
2K
Undergrad 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
Undergrad Want to understand how to express the derivative as a matrix
  • · Replies 8 ·
Replies
8
Views
3K
MHB Orthogonal Complement of Polynomial Subspace?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad 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
Undergrad Need help solving for X in third order polynomial
  • · Replies 15 ·
Replies
15
Views
3K