Question

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)

Answer 1

Part A:
Rearrange the two equations so you can see the common terms together...
side 1: 3x^2-2x-1
side 2: 2x^2+9x-3
So add the common terms together...
3x^2+2x^2=?
-2x+9x=?
-1+-3=?

Answer 2

5x^2+7x=-4? @brookew41

Answer 3

that equal sign doesn't belong in there... the sum of Side 1 and Side 2= 5x^2+7x-4.
For part b all you have to do is the same thing, but subtract the sum of side 1 and 2 from the total.
5x^3-0x^3=?
4x^2-5x^2=?
-x-7x=?
-3-4=?

As for part c, I have no idea what they are asking... Sorry!

Answer 4

5x^3-x^2-8x-7 @brookew41

Answer 5

??

Answer 6

That's what I think.

Answer 7

I know what part C means, it means that you need to explain how part A and B are related to the closure property. The closure property states that one polynomial plus another polynomial is also a polynomial. It is the same for addition, subtraction, multiplication, and division. So, on your module 7 quiz for FLVS's Algebra one, part two, you know what they are talking about.