Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. suppose f is a degree n polynomial where f(a1) = b

Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2, · ·...

70.2K

Verified Solution

Question

Advance Math

Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2,· · · f(an+1) = bn+1 where a1, a2, · · · an+1 are n + 1 distinctvalues. We will define a new polynomial g(x) = b1(x − a2)(x − a3)·· ·(x − an+1) / (a1 − a2)(a1 − a3)· · ·(a1 − an+1) + b2(x − a1)(x −a3)(x − a4)· · ·(x − an+1) / (a2 − a1)(a2 − a3)(a2 − a4)· · ·(a2 −an+1) + · · · + bn+1(x − a1)(x − a2)· · ·(x − an) / (an+1 −a1)(an+1 − a2)· · ·(an+1 − an).

Find g(a1), g(a2), · · · g(an+1).

Answer & Explanation Solved by verified expert
3.8 Ratings (641 Votes)
    See Answer
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

Finance
1.2K views

The future earnings, dividends, and common stock price of Callahan Technologies Inc. are expected to grow...

Medical Sciences
1.2K views

Explain how you can utilize plant physiology in a real world scenario

Physics
1.2K views

4 A voltmeter is connected in parallel with a variable resistance R which is in...

Basic Math
1.2K views

5 M A 3 2 1 TH 5 5 4 3 2 1 P 2...

Calculus
1.2K views

rectangle is inscribed wit bossible area 1 6329 5 333 can earn partial credit on...

Algebra
1.2K views

Insert parentheses to make the following statement true 18 11 5 9 3 Choose the...

Accounting
1.2K views

I am having trouble with a Cybertext problem in the Cost Volume Relationships - Profit...

Accounting
1.2K views

The stockholders equity accounts of Cyrus Corporation on January 1, 2017, were as follows. ...

Accounting
1.2K views

In February 2017, Red Deer Inc. signed a contract and commenced construction on a parking...

Accounting
1.2K views

X Company has an opportunity to accept a special order that will result in immediate...

Accounting
1.2K views

When one or more items in the financial statements are not presented in accordance with...

Accounting
1.2K views

please answer all parts thanks Tier World Publishing completed the following transactions...