A community for students.
Here's the question you clicked on:
 0 viewing
egracer
 one year ago
The lengths of two sides of a triangle are shown below:
Side 1: 3x2 − 2x − 1
Side 2: 9x + 2x2 − 3
The perimeter of the triangle is 5x3 + 4x2 − x − 3.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points)
Part B: What is the length of the third side of the triangle? (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
(I ONLY NEED HELP WITH PART B AND C)
egracer
 one year ago
The lengths of two sides of a triangle are shown below: Side 1: 3x2 − 2x − 1 Side 2: 9x + 2x2 − 3 The perimeter of the triangle is 5x3 + 4x2 − x − 3. Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points) Part B: What is the length of the third side of the triangle? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) (I ONLY NEED HELP WITH PART B AND C)

This Question is Closed

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Part A ; Just add 3x2 − 2x − 1 + 9x + 2x2 − 3 yes you are correct

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Part B ; its perimeter  sum of other 2 sides = 5x^3 + 4x^2 − x − 3  (5x^2+7x−4) = 5x^3 + 4x^2  x  3  5x^2  7x + 4  note that you distribute the negative over the parentheses so some signs change

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1= 5x^3  x^2  8x + 1

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yes  note when you subtract polynomials first put the second one in parentheses

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Being closed under addition and subtraction means that the result os adding and subtracting polynomials results in another polynomial. And these 2 operations which we have done show that to be the case.

egracer
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for your help! I finally understand how to do it now :)))
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.