Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. let f(x) = f[x] be a nonconstant polynomial and a

Let f(x) = F[x] be a nonconstant polynomial and a be an element in any...

60.1K

Verified Solution

Question

Basic Math

image

Let f(x) = F[x] be a nonconstant polynomial and a be an element in any field extension E of F. Then, a is a multiple root of f(x) if and only if f(a) = 0 = f'(a); that is, a is a root of both f'(x) and f'(x).

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Calculus
1.2K views

Use a calculator to evaluate the function at the indicated value of x Round your...

Operations Management
1.2K views

What is meant in : Is what we call \"obeying a rule\" something that it would...

Mechanical Engineering
1.2K views

Air expands through a turbine operating at steady state. At the inlet, p1 = 150 lbf/in.2, T1...

Geometry
1.2K views

Directions Give each trig ratio as a fraction in simplest form 1 D Rimeti 29...

Basic Math
1.2K views

Adjustment for prepaid expense The prepaid insurance account had a beginning balance of 7 340...

Basic Math
1.2K views

A rectangular playground is to be fenced off and divided into two parts by a...

Accounting
1.2K views

Using the reciprocal services method, which of the following equations represents the aigebraic expression for...

Accounting
1.2K views

Mickley Company's plantwide predetermined overhead rate is $14.00 per direct labor-hour and its direct labor...

Accounting
1.2K views

Given i(2)=1.45000%, find the equivalent effective bi-weekly rate. a. 0.05558% b. 0.05336% c. 0.05114% d....

Accounting
1.2K views

Elwood Company aplica los gastos generales en funcin de las horas de mquina. Al comienzo...

Accounting
1.2K views

Required information Problem 4-25A (Algo) Comprehensive cycle problem: Perpetual system LO 4-2,4-3,4-4,4-5,4-6,4-7 ...

Accounting
1.2K views

The total of the figures on the left side of a Cash account is $32,800....