Polynomials Add

Add the polynomials.

(2x + 5y) + (3x - 2y)

• 3x + 5y

• 5x + 3y

• 5x + 7y

• 7xy + 1xy

Simplify each expression.

• 11x⁴ + 2x² + 14x

• 16x⁴ + x² + 14x

• 11x⁴ + x² + 14x

• 11x⁴ + 2x² + 10x

Simplify the expression.

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3

• -7n² - 8n + 3

• 8n⁴ -6n² - 8n + 3

• -7n² - 4n + 3

Simplify each expression. (6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Add or Subtract to Simplify:

(4x²+ x) - (x² -2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Sarah is planning a small party and is calculating the total cost of decorations and snacks she bought. She spent on decorations
 (5x + 2) dollars and on snacks
 (4x + 5) dollars. Combine like terms to find the total cost.

• 9x -7

• -9x-11

• 9x+7

• x+7

John and Emily are planning to prepare two types of cookies for a local charity event. The first cookie recipe requires ingredients costing (2x² + 5x - 7) dollars, and the second cookie recipe requires ingredients costing (3 - 4x² + 6x) dollars. How much will the ingredients for both cookie types cost in total?

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Alice is managing the finances for her two startups over the past year. The profit from the first startup is represented by the equation 4x - 2x³, and the profit from the second startup is given by 5x³ - 4x + 5. Alice needs to calculate the combined annual profit from both startups.

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Bob and Sarah are planning to prepare two types of cookies for a local charity event. The first cookie recipe requires ingredients costing (2x² + 5x - 7) dollars, and the second cookie recipe requires ingredients costing (3 - 4x² + 6x) dollars. How much will the ingredients for both cookie types cost in total?

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

A mathematician named Dr. Euler is working on polynomial expressions for a new mathematical model and encounters the following problem while simplifying an equation:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

• -14p⁴ + 9p³ - 6

• -14p⁴ + 9p³ + 6

• -14p⁴ + 9p³ - 1

• -15p⁴ + 9p³ + 6