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Question 2 (Essay Worth 10 points)
(06.02 MC)
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)

Sagot :

Answer:

See below ~

Step-by-step explanation:

Part A :

⇒ Total Length = Side 1 + Side 2

⇒ Total Length = (8x² - 5x - 2) + (7x - x² + 3)

⇒ Total Length = 7x² + 2x + 1

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Part B :

⇒ Length of 3rd side = Perimeter - Part A solution

⇒ Length of 3rd side = 4x³ - 3x² + 2x - 6 - (7x² + 2x + 1)

⇒ Length of 3rd side = 4x³ - 10x² - 7

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Part C :

⇒ Yes

⇒ It shows they are closed under addition and subtraction because no new values come into the equations

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