Question

FAN AND MEDAL!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

The lengths of two sides of a triangle are shown below:

Side 1: 5x2 + 2x - 3
Side 2: 8x - 3x2 + 2

The perimeter of the triangle is 2x3 - 5x2 + 4x - 8.

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)

Answer 2

Part A:
5x2 + 2x - 3 + 8x - 3x2 + 2

add like terms

Answer 3

for example
5x^2 and -3x^2 are like terms
adding them gives 2x^2

now do the same with the 2 terms in x and the 2 numbers

Answer 4

Part A. Just add side 1 and side 2, combining similar terms and being careful of signs.
Side 1: 5x2 + 2x - 3 + Side 2: 8x - 3x2 + 2 =----------------

Answer 5

2x3 - 5x2 + 4x -8

Answer 6

Part A: 2x2+10x-1
Part B: 2x3 - 7x2 -6x - 7
Part C: You could show this by adding side 1 , side 2 and the answer you got for Part B and showing that result is equal to the given Perimeter.

Answer 7

@Aureyliant @LegendarySadist

Answer 8

help with part c plz

Answer 9

@Ashleyistheboss2

Answer 10

the addition of the 2 polynomials gives another polynomial
the subtraction also gives another polynomial

this supports the assertion