1)

Part A: Construct a fifth-degree polynomial with four terms in standard form. How do you know it is in standard form? Part B: Elaborate the closure property as it relates to subtraction of polynomials. Give an example.

2) Side 1: 8x² 5x 2 Side 2: 7x x² + 3 The perimeter of the triangle is 4x³ 3x² + 2x 6. Part A: What is the total length of the two sides, 1 and 2, of the triangle? Part B: What is the length of the third side of the triangle? Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction?

3)

A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of the rectangle? Part B: What are the degree and classification of the expression obtained in Part A? Part C: How does Part A demonstrate the closure property for polynomials?

4)

Daisy is a botanist who works for a garden that many tourists visit. The function f(s) = 3s + 35 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 15w represents the number of seeds she plants per week, where w represents the number of weeks. Part A: Construct a composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks. Part B: What are the units of measurement for the composite function in Part A? Part C: Evaluate the composite function in Part A for 36 weeks.