Question

FAN AND MEDAL
The lengths of two sides of a triangle are shown below:

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? (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

Answer 1

What are your thoughts on this ?

Answer 2

for Part A you just add the 2 expressions for side 1 and side 2

Answer 3

side 2 is : 4x-x^2 +5 ? so than will be -x^2 +4x +5 right wrote

Answer 4

or in case of the term 4x from side 2 you missed an exponent of x ?

Answer 5

for part A. you just make how welsh wrote above assume these two expressions of side one and side two

Answer 6

for you get the length of side 3 so bc. you know the perimeter of this triangle what is equal with the sum of the length of sides 1,2 and 3 and from thses you know the sum of the length of sides 1 and 2 so for you get the length of side 3 just you need subtract from the value of perimeter this sum of side 1 and 2 and so in this way will get easy the length of side 3

do you can solve it ?