Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Prove the cubic polynomial f (x) = (x ?...

50.1K

Verified Solution

Question

Advance Math

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomial
f (x) = (x ? h)(x ? a ? h)(x ? b ? h) + k
passes through the point (h,k), has integer roots, has localextrema with integer coordinates, and has an inflection
point with integer coordinates.

Answer & Explanation Solved by verified expert

3.6 Ratings (497 Votes)

We havewhereandSince and are integers so and arealso integersNow putting in the expressionof weobtainThis shows that passes through thepoint The second statement is false The equationneed not have 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

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Prove the cubic polynomial f (x) = (x ?...

50.1K

Verified Solution

Question

Advance Math

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomial
f (x) = (x ? h)(x ? a ? h)(x ? b ? h) + k
passes through the point (h,k), has integer roots, has localextrema with integer coordinates, and has an inflection
point with integer coordinates.

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students

Modify the code below to support specifying additional dice type in addition to a 6 sided...

Nature or nurture. Write your opinion

Which of the following groups of animals could be found in temperate grasslands?A. bison, longhorns,...

3 A wire of length L and 3 identical cells of negligible internal resistances are...

An aerial photograph from a U 2 spy plane is taken of a building suspected...

A vehicle purchased for $27,500 depreciates at a constant rate of 4%. Determine the approximate...

Question 10 0 1 pt 399 Details The population of a city can be modeled...

Find the arc-length of a circle with the given radius r and central angle ?....

18 Required information Part 3 of 4 Use the following information for the...

I need help with my workbook assignment. Specifically I need to know if my numbers...

Mason Company provided the following data for this year: Required: Prepare a schedule of cost...

For tax reasons, your client wishes to purchase an annuty that pays $100,000 each year...

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Prove the cubic polynomial f (x) = (x ?...

50.1K

Verified Solution

Question

Advance Math

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomialf (x) = (x ? h)(x ? a ? h)(x ? b ? h) + kpasses through the point (h,k), has integer roots, has localextrema with integer coordinates, and has an inflectionpoint with integer coordinates.

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomial
f (x) = (x ? h)(x ? a ? h)(x ? b ? h) + k
passes through the point (h,k), has integer roots, has localextrema with integer coordinates, and has an inflection
point with integer coordinates.