The lengths of three sides of a quadrilateral are shown below:Side 1:Side 2:Side 3:
3y2 + 2y − 6
3y − 7 + 4y2
−8 + 5y2 + 4y
The perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26.
Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral?
Part B: What is the length of the fourth side of the quadrilateral?
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer.
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