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

Side 1: 8x^2-5x-2

Side 2: 7x-x^2+3

The perimeter of the triangle is 4x^3-3x^2+2x-6

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)

Question

The lengths of two sides of a triangle are shown below:

Side 1: 8x^2-5x-2

Side 2: 7x-x^2+3

The perimeter of the triangle is 4x^3-3x^2+2x-6

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)

anonymous · Answer

part a is 7x^2+2x+1

anonymous · Answer

and I think part b is 4x^3-10x^2+x-7

anonymous · Answer

part A would be (8x^2-5x-2) + (7x-x^2+3)
because they gave you what the values of side A and B were 
part B would be (8x^2-5x-2) + (7x-x^2+3) + x = (4x^3-3x^2+2x-6)
because they want to know the whole perimeter therefore you add all the  sides and make it equal to the given quantity

isaiah.feynman · Answer

@bangbang559 Assume the lengths of the sides are A, B, and C. |dw:1393037861040:dw|