Question

Algebra 1 question
Just one question, nothing more
Fan + Medal

Answer 1

The lengths of two sides of a triangle are shown below:

Side 1: 3x2 - 4x - 1
Side 2: 4x - x2 + 5

The perimeter of the triangle is 5x3 - 2x2 + 3x - 8.

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 HAVE A AND B ALREADY

Answer 2

I just need c

Answer 3

what is your definition of closed?

Answer 4

In parentheses

Answer 5

hmm, thats not what i define closed to be.

a group of elements are closed if and only if an operation between any 2 elements of the group produces another element in the group.

for example integers are closed under addition and subtraction since any integer added or subtracted to another integer results in the solution being another integer

Answer 6

Ok... what would I have to do to prove that they are closed?

Answer 7

well, what are your results for A and B?

Answer 8

here they are:

Part A: 2x^2+4

Part B: 5x^3−4x^2+3x−12

Answer 9

whoops let me fix that

Answer 10

refresh gets rid of the odd marks

Answer 11

ok theyre gone for me :)

Answer 12

Were my A and B right?

Answer 13

a specific example never 'proves' or 'shows' anything other than something works for that specific example.

your results therefore demonstrate that there might be something to polynomials being closed under the operations, but they are not general enough to determine anything for polynomials as a whole.

Answer 14

Hmm... you are therefore saying that C... is:

My results demonstrate that there might be something to polynomials being closed under the operations, but they are not general enough to determine anything for polynomials as a whole.

Answer 15

im saying that yes. how you say it is up to you :)

Answer 16

Thank you amistre64, you have been of great help :)

Answer 17

good luck

Answer 18

Thanks again :)

Answer 19

Just a quick question, would you mind helping on a few more?

Answer 20

@amistre64