Answered

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(06.02 MC)
The lengths of two sides of a triangle are shown.
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? 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 poit

Sagot :

mhanifa

Step-by-step explanation:

Given

  • Side 1: 3x² - 2x - 1
  • Side 2: 9x + 2x² - 3
  • Perimeter:  5x³ + 4x² - x - 3

Part A

Sum of side lengths 1 and 2

  • 3x² - 2x - 1 + 9x + 2x² - 3 =
  • 5x² + 7x - 4

Part B

The perimeter is the sum of all three sides.

The length of the third side is

  • P - (side 1 + side 2) =
  • 5x³ + 4x² - x - 3 - (5x² + 7x - 4) =
  • 5x³ + 4x² - x - 3 - 5x² - 7x + 4 =
  • 5x³ - x² - 8x + 1

Part A - addition

Part B - subtraction

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