The lengths of two sides of a triangle are shown. Side 1: 3x 2 4x
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Question:
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
Part B: What is the length of the third side of the triangle? Show your work.
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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