Question

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)

Answer 1

The formula for a triangle is \[P=a+b+c\]

Answer 2

Since there are only two sides there, you need to find the third side of the triangle. The formula for that is \[c= P-a-b\]

Answer 3

ok one sec

Answer 4

Kay.

Answer 5

wait what is p

Answer 6

P= Perimeter

Answer 7

is it 3x2-2x-1-9x+2x2-3-5x3 + 4x2 − x − 3.

Answer 8

Make sure you put the side or the perimeter answer.

Answer 9

Also, solve the equation for each side to get the total.

Answer 10

i think i keep messing up

Answer 11

A. just add side 1 to side 2

Answer 12

B. a+b+c = the perimeter

Answer 13

then solve for c

Answer 14

a=5x4-7x2+2 right?