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?

Part B: What is the length of the third side of the triangle?

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer.

Question

Mathematics

Charmer

18 April, 17:41

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?

Part B: What is the length of the third side of the triangle?

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer.

+3

Answers (1)

Know the Answer?

Hayley Frank · Answer 1

The best and most correct answers among the choices provided from your question about triangles are:

Part A.

3x2 - 4x - 1 + (4x - x2 + 5) = 2x2 + 4

Part B.

perimeter = a + b + c

5x3 - 2x2 + 3x - 8 = 2x2 + 4 + C

C = 5X3 - 4x2 + 3x - 12

Part C.

Answers for Parts A and B were already justified by the solutions of each answer.