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3 votes
I need help please its too early for math :/ 85 points

"The lengths of two sides of a triangle are shown.

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? 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)"

User Nalani
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2 Answers

2 votes

Answer:

Explanation:

part A) is just asking you to add side 1 + side 2

part B) is asking for the third side, since you are given perimeter (sum of all sides) you just need to subtract side 3 - side 1 - side 2

part C) for a polynomial to be closed under addition, it just means two polynomials add up to produce another polynomial, same thing for subtraction. use your results from parts A and B to see whether the polynomials are closed under addition/subtraction

User Ezcodr
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5.7k points
3 votes

part A) is just asking you to add side 1 + side 2

part B) is asking for the third side, since you are given perimeter (sum of all sides) you just need to subtract side 3 - side 1 - side 2

part C) for a polynomial to be closed under addition, it just means two polynomials add up to produce another polynomial, same thing for subtraction. use your results from parts A and B to see whether the polynomials are closed under addition/subtraction

User Alex Ciocan
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4.8k points