Question

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

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? (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)

Answer 1

Please skip the "giving medal" part, OK?

To answer Part !, all you need to do is to add together these three quantities:

Side 1: 8x2 - 5x - 2
Side 2: 7x - x2 + 3
Triangle: 4x3 - 3x2 + 2x - 6

Combine like terms (that is, combine all x terms, all x^2 terms, and so on).

Answer 2

Alright, thank you!