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- egracer

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. (2 points)
(I ONLY NEED HELP WITH PART B AND C)

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- egracer

- jamiebookeater

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- welshfella

Part A ; Just add
3x2 − 2x − 1 + 9x + 2x2 − 3
yes you are correct

- welshfella

Part B ;- its perimeter - sum of other 2 sides
= 5x^3 + 4x^2 − x − 3 - (5x^2+7x−4)
= 5x^3 + 4x^2 - x - 3 - 5x^2 - 7x + 4
- note that you distribute the negative over the parentheses so some signs change

- welshfella

= 5x^3 - x^2 - 8x + 1

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- welshfella

yes
- note when you subtract polynomials first put the second one in parentheses

- welshfella

Being closed under addition and subtraction means that the result os adding and subtracting polynomials results in another polynomial. And these 2 operations which we have done show that to be the case.

- welshfella

*of not os

- egracer

Thank you so much for your help! I finally understand how to do it now :)))

- welshfella

yw

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