Question 2 (Essay Worth 10 points) (06.02 MC) The lengths of two sides of a triangle are shown. Side 1: 3x^2-4x-1 Side 2: 4x-x^2+5 The perimeter of the triangle is 5x^3-2x^2+3x-8 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) n? Justify your answe Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction?

To solve this problem, we need to find the total length of the two sides of the triangle (Part A), the length of the third side of the triangle (Part B), and determine if the answers for Part A and Part B show that the polynomials are closed under addition and subtraction (Part C).Part A: To find the total length of the two sides of the triangle, we need to add the expressions for Side 1 and Side 2.Side 1: Side 2: Adding these expressions together, we get: Therefore, the total length of the two sides of the triangle is .Part B: To find the length of the third side of the triangle, we need to subtract the total length of the two sides from the perimeter of the triangle.Perimeter: Subtracting the total length of the two sides from the perimeter, we get: Therefore, the length of the third side of the triangle is .Part C: The answers for Part A and Part B show that the polynomials are closed under addition and subtraction. This is because when we added the expressions for Side 1 and Side 2, we obtained a polynomial expression. Similarly, when we subtracted the total length of the two sides from the perimeter, we also obtained a polynomial expression. This demonstrates that polynomials are closed under addition and subtraction, meaning that the sum or difference of two polynomials will always result in another polynomial.