The lengths of two sides of a triangle are shown.

Side 1: 8x2 − 5x − 2

Side 2: 7x − x2 + 3

The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.

Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)

Part B: What is the length of the third side of the triangle? Show your work. (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)

Question

The lengths of two sides of a triangle are shown.

Side 1: 8x2 − 5x − 2

Side 2: 7x − x2 + 3

The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.

Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)

Part B: What is the length of the third side of the triangle? Show your work. (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)

yourdootcome · Answer

part a = side 1 + side 2 = 7x^2 +2x +1
part b = perimeter - side a - side b = 4x^3 -10x^2 -7

jhonyy9 · Answer

@yourdootcome wrote:

part a = side 1 + side 2 = 7x^2 +2x +1 part b = perimeter - side a - side b = 4x^3 -10x^2 -7

please explain your calcules (work) !!!

jhonyy9 · Answer

@yourdootcome wrote:

part a = side 1 + side 2 = 7x^2 +2x +1 part b = perimeter - side a - side b = 4x^3 -10x^2 -7

...and what about part C. ?

jhonyy9 · Answer

@brandy12 do you understand these above wrote by @yourdootcome ?