1. Perform addition and subtraction of polynomials. 2. Perform multiplication of polynomials 3. Use long division...

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1. Perform addition and subtraction of polynomials. 2. Perform multiplication of polynomials 3. Use long division to find quotients of polynomials 4. Use inverse operations to check the result of polynomial division Directions: Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following: WA S VE 2x 4x-2 X+3 Squash Pumpkins 2x² Corn 2x-4x-4 Beans Potatoes 4x-7 2x+5 ZA WA ➤E S 2x² F09 Corn x²- - 13 2x 4x-2 X+3 Squash Pumpkins x+8 2x²-4x-4 Beans Potatoes 3x - 4x + 6 4x-7 2x + 5 17. 1. Write and simplify the polynomial expression that represents the length of the south side of the field. (10 points) 1000000 2. Write and simplify the polynomial expression that represents the perimeter of the pumpkin field. (10 points) 3. State one reason why the perimeter would be useful to Farmer Bob. (5 points) 4. Write and simplify the polynomial expression that represents the area of the potato field. (10 points) 5. State one reason why the calculated area would be useful to Farmer Bob. (5 points) 6. Write and simplify the polynomial expression that represents the area of the bean field. (15 points) 7. The farmer would like his bean plants to grow to a height of (x + 7). Write and simplify a polynomial expression to find the volume of the bean plants if they reach a height of (x+7). (15 points) 8. Farmer Bob realized he forgot to include a zucchini field into his field layout. He plans to use half the length and half the width of the squash field in order to plant zucchini. Write a polynomial expression that represents the area of the new zucchini field. (15 points) 9. Farmer Bob wants to redo his fields. He wants to take the length (from west to east) and divide it by (x-1). What is the remainder? Use Long Division or Synthetic Division. (15 points) Extra Credit: Farmer Bob would like to plant three additional fields of produce. Find the dimensions of each field given the area. (5 points each - show all your work) a. The area of the strawberry field is: x²+2x-15 b. The area of the cucumber field is: x² - 25. c. The area of the tomato field is: x² + 5x+6 1. Perform addition and subtraction of polynomials. 2. Perform multiplication of polynomials 3. Use long division to find quotients of polynomials 4. Use inverse operations to check the result of polynomial division Directions: Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following: WA S VE 2x 4x-2 X+3 Squash Pumpkins 2x² Corn 2x-4x-4 Beans Potatoes 4x-7 2x+5 ZA WA ➤E S 2x² F09 Corn x²- - 13 2x 4x-2 X+3 Squash Pumpkins x+8 2x²-4x-4 Beans Potatoes 3x - 4x + 6 4x-7 2x + 5 17. 1. Write and simplify the polynomial expression that represents the length of the south side of the field. (10 points) 1000000 2. Write and simplify the polynomial expression that represents the perimeter of the pumpkin field. (10 points) 3. State one reason why the perimeter would be useful to Farmer Bob. (5 points) 4. Write and simplify the polynomial expression that represents the area of the potato field. (10 points) 5. State one reason why the calculated area would be useful to Farmer Bob. (5 points) 6. Write and simplify the polynomial expression that represents the area of the bean field. (15 points) 7. The farmer would like his bean plants to grow to a height of (x + 7). Write and simplify a polynomial expression to find the volume of the bean plants if they reach a height of (x+7). (15 points) 8. Farmer Bob realized he forgot to include a zucchini field into his field layout. He plans to use half the length and half the width of the squash field in order to plant zucchini. Write a polynomial expression that represents the area of the new zucchini field. (15 points) 9. Farmer Bob wants to redo his fields. He wants to take the length (from west to east) and divide it by (x-1). What is the remainder? Use Long Division or Synthetic Division. (15 points) Extra Credit: Farmer Bob would like to plant three additional fields of produce. Find the dimensions of each field given the area. (5 points each - show all your work) a. The area of the strawberry field is: x²+2x-15 b. The area of the cucumber field is: x² - 25. c. The area of the tomato field is: x² + 5x+6

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ANSWER 1 Write and simplify the polynomial expression that represents the length of the south side of the field The length of the south side of the fi... View the full answer