Question 2 (Essay Worth 10 points)
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)