The lengths of two sides of a triangle are shown below: Side 1: 3x2 - 2x - 1 Side 2: 9x + 2x2 - 3 The perimeter of the triangle is 5x3 + 4x2 - x - 3. 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.

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The lengths of two sides of a triangle are shown below: Side 1: 3x2 - 2x - 1 Side 2: 9x + 2x2 - 3 The perimeter of the triangle is 5x3 + 4x2 - x - 3. 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.

Mathematics
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they really stretch to make these word problems don't they? first step is to add \[3x^2-2x-1+9x+2x^2-3\] aka combine like terms
second step is to subtract that result from \[5x^3+4x^2-x-3\]

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third step is to say "yes" they are closed under addition and subtraction since you get a polynomial for an answer

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