Let f(x) F[x] where F is a field, and let F. Show that the
Question:
Let f(x) ∈ F[x] where F is a field, and let α ∈ F. Show that the remainder r(x) when f(x) is divided by x - α, in accordance with the division algorithm, is f(α).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
We know that fx qxx a c for some consta...View the full answer
Answered By
Akshay Singla
as a qualified engineering expert i am able to offer you my extensive knowledge with real solutions in regards to planning and practices in this field. i am able to assist you from the beginning of your projects, quizzes, exams, reports, etc. i provide detailed and accurate solutions.
i have solved many difficult problems and their results are extremely good and satisfactory.
i am an expert who can provide assistance in task of all topics from basic level to advance research level. i am working as a part time lecturer at university level in renowned institute. i usually design the coursework in my specified topics. i have an experience of more than 5 years in research.
i have been awarded with the state awards in doing research in the fields of science and technology.
recently i have built the prototype of a plane which is carefully made after analyzing all the laws and principles involved in flying and its function.
1. bachelor of technology in mechanical engineering from indian institute of technology (iit)
2. award of excellence in completing course in autocad, engineering drawing, report writing, etc
4.70+
48+ Reviews
56+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
show graph and explain graph and show that the graph extend to y axix @100 percent example : you can use excell much better thankyou. analysis test used the sieve no. 4, 10, 16, 20, 40, & 100, with...
-
In a linear homogeneous and isotropic conductor, show that the charge density pvsatisfies P, = 0 %3D at
-
Let f : R x R R be differentiable. For each x R defined gx: R R By gx (y) = f(x,y). Suppose that for each x there is a unique y with gx1(y) =0; let c(x) be this y.
-
In the context of online marketing communications, briefly explain what viral marketing is. Is it a worth-while pursuit for marketing organizations?
-
Interpret calculator display: The following TI-84 Plus calculator display presents a 95% confidence interval for the mean difference between matched pairs. a. Find the point estimate of Pd. b. How...
-
An object of mass \(m\) can move in two dimensions in response to the simple harmonic oscillator potential \(U=(1 / 2) k r^{2}\), where \(k\) is the force constant and \(r\) is the distance from the...
-
Analyze the major sources of consumer credit.
-
Here are some historical data on the risk characteristics of Dell and Microsoft: Assume the standard deviation of the return on the market was 15 percent. a. The correlation coefficient of Dell?s...
-
Snow Balance Sheet 12/31/2525 Incore, 1/1. 12/01/2525 $2.350 Current $2.950 Debt Sales $58 225 54.600 PPE $4.000. Stockholdersguly Soalcos $26.470 $5.950 Toalla 56.950 net income 1786 Swine is in an...
-
Lincoln Estates manufactures log homes to customers specifications and uses job order costing. A predetermined overhead rate is used in applying manufacturing overhead to individual jobs. In the...
-
Let m : Z Z m be the natural homomorphism given by m (a) = (the remainder of a when divided by m) for a Z. a. Show that m : Z[x] Z m [x] given by m (a 0 + a 1 x + + a n x n ) = m (a 0 ) + ...
-
Show that the evaluation map a of Example 18.10 satisfies the multiplicative requirement for a homomorphism. Data from in18.10 Example Let F be the ring of all functions mapping IR. into IR. defined...
-
In problem use Theorem II.3 to find A -1 for the given matrix or show that no inverse exists. Theorem II.3 If an n n matrix A can be transformed into the n n identity I by a sequence of elementary...
-
Contract for construction crew and equipment 8 Build parking lots Exterior lighting 11 7 20 12 Build foundation Start Interior Interior 12 9 electrical Final wiring finish Purchase 8 14 12 material...
-
Mad Hatter Enterprises purchased new equipment for $369,000, terms f.o.b. shipping point. Other costs connected with the purchase were as follows: State sales tax Freight costs Insurance while in...
-
Write down a C program that takes runs scored by a batsman and prints the status according to the following policy: Runs scored >80 50-79 30-49 10-29 <10 Grade Excellent 4 Very Good Good Average Poor
-
Consider the standard two-period maximization problem for investor j over s states of nature: Subject to S max u(c) + (s)u(c;}(s)) S=1 Cjo + q(s) C; (s) = Wjo +244) S=1 where all terms are as defined...
-
At what point should a leader cease gathering data, take the risk, and simply make the decision? Support your position.
-
Oaks Company had the following balances in its accounting records as of December 31, Year 1: The following accounting events apply to Oakss Year 2 fiscal year: Jan. 1 Acquired an additional $70,000...
-
Interest Compounded Annually. When P dollars is invested at interest rate i, compounded annually, for t years, the investment grows to A dollars, where A = P(1 + i) t . Trevor's parents deposit $7800...
-
Refer to Exercise 7.82. In exercise 7.82 a. United Health (UNH): 25%, United Technologies (UTX): 25%, Verizon (VZ): 25%, Walmart (WMT): 25% b. UNH: 10%, UTX: 20%, VZ: 30%, WMT: 40% c. UNH: 40%, UTX:...
-
An analyst recommends that you invest in a portfolio made up of Bank of Montreal (BMO), Bank of Nova Scotia (BNS), Canadian Imperial Bank of Commerce (CM), and Royal Bank (RY). Why would it not...
-
a. Agnico Eagle (AEM): 25%, Bell Canada Enterprises (BCE): 25%, Bank of Montreal (BMO: 25%, Dollarama (DOL): 25% b. AEM: 30%, BCE: 30%, BMO: 20%, DOL: 20% c. AEM: 40%, BCE: 15%, BMO: 15%, DOL: 30% d....
-
When preparing government-wide financial statements, the modified accrual based governments funds are adjusted. Please show the adjustments (in journal entry form with debits and credits) that would...
-
I need help finding the callable price and call value
-
On 31 October 2022, the owner took goods for his son as a birthday gift. The cost price of the goods was R15 000
Study smarter with the SolutionInn App