Polynomial Add, Subtract, Multiply and Divide

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

Simplify each Expression:
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Simplify each Expression:
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Simplify each Expression:
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9

• 3p³ + 4p² - p + 3

• 4p³ +3p² +16p -10

• 4p³ +3p² + 16p + 10

How many terms are in the following polynomial?
7x - 125 - 6x³+ 14x²

• -125

• 2

• 3

• 4

When adding or subtracting polynomials we add / subtract the _____________________________.

• Exponents

• Polynomials

• Coefficients

• All of the above

10x ⋅ x

• 10x

• 10x²

• 11x

• 11x²

2x² ⋅ 4x⁴

• 6x⁶

• 6x⁸

• 8x⁶

• 8x⁸

Which of the following operations are polynomials always closed under? Select ALL the APPLY

• Addition

• Division

• Multiplication

• Subtraction

Mr. Early has a rectangular garden in his back yard with an area of 3x² square meters. He decided to make it larger and the new area will be (3x² + 4x + 5) square meters. What is the difference between the new garden and the original garden? Show your work. "NWNC"

• 4x + 5

• 9x² + 4x + 5

• -4x + 5

• x² + 4x + 5