Pls help! 50 points!
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)

Respuesta :

The total length of the two sides and the length of the third side is 7x² + x + 1 and 4x³ - 10x² - x - 7 respectively

Perimeter of rectangle

  • Side 1: 8x² − 5x − 2

  • Side 2: 7x − x² + 3

  • Perimeter = 4x³ − 3x² + 2x − 6

Total length of side 1 and 2 = (8x² − 5x − 2) + (7x − x² + 3)

= 8x² - 5x - 2 + 6x - x² + 3

= 7x² + x + 1

Length of the third side = perimeter - Total length of side 1 and 2

= (4x³ − 3x² + 2x − 6) - (7x² + x + 1)

= 4x³ - 3x² + 2x - 6 - 7x² - x - 1

= 4x³ - 10x² - x - 7

Learn more about perimeter of rectangle:

https://brainly.com/question/17297081

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