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? (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: 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? (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

helppp

solomonzelman · Answer

$$Side~1:~~3x^2-4x-1$$$$Side~2:~~-x^2+4x+5$$$$Perimeter:~~~5x^3-2x^2+3x-8$$

Do you have more info?

isaiah.feynman · Answer

The total length of side 1 and side 2 is side 1 + side 2. Add the two polynomials given.

isaiah.feynman · Answer

$$3x^{2}-4x-1+(-x^{2}+4x+5) = 2x^{2}-4$$

isaiah.feynman · Answer

The length of the third side can be determined by subtracting the lengths of the other two sides from the perimeter. Thus $$5x^{3}-2x^{2}+3x-8-(2x^{2}-4) = 5x^{3}-4x^{2}+3x-4$$

anonymous · Answer

ok

isaiah.feynman · Answer

@Loser66 this just polynomials generally. This question is a test of polynomial arithmetic.

loser66 · Answer

ok, ok, got you. my bad.