Exploring Polynomial Operations and Expressions

What is the result of adding 3x^4 - 2x^3 + 1 and 12x^4 + x^2 - 11?

• 15x^4 - 2x^3 + x^2 + 10

• 15x^4 - 2x^3 + x^2 - 10

• 15x^4 - 2x^3 - x^2 - 10

• 15x^4 + 2x^3 + x^2 - 10

When subtracting (x^2 - 5x + 1) from (3x^2 + x - 3), what is the resulting polynomial?

• 2x^2 + 6x + 4

• 2x^2 + 6x - 4

• 2x^2 - 4x - 4

• 2x^2 + 4x - 4

What is the product of -3x^2 and (6x^2 + 2x - 3)?

• -18x^4 + 6x^3 - 9x^2

• -18x^4 - 6x^3 - 9x^2

• -18x^4 - 6x^3 + 9x^2

• -18x^4 + 6x^3 + 9x^2

What is the area of a rectangle with length (5x - 3) and width (x + 7)?

• 5x^2 + 35x + 21

• 5x^2 + 32x + 21

• 5x^2 + 35x - 21

• 5x^2 + 32x - 21

What is the result of multiplying (x - 3) and (x + 11)?

• x^2 + 8x - 33

• x^2 + 14x - 33

• x^2 + 8x + 33

• x^2 + 14x + 33

What is the result of squaring (4x + 7)?

• 16x^2 + 56x + 49

• 16x^2 + 28x + 49

• 16x^2 + 56x - 49

• 16x^2 + 28x - 49

What is the product of (2x^2 + 3x - 6) and (x - 1)?

• 2x^3 - x^2 - 9x + 6

• 2x^3 + x^2 - 9x - 6

• 2x^3 + x^2 - 9x + 6

• 2x^3 - x^2 - 9x - 6

What is the result of multiplying (x^2 - 2x + 2) and (x - 3)?

• x^3 + 5x^2 + 8x + 6

• x^3 + 5x^2 + 8x - 6

• x^3 - 5x^2 + 8x + 6

• x^3 - 5x^2 + 8x - 6

If the base ticket price is modeled by 15x + 10 and the service charge by 5x + 2, what is the total cost?

• 20x + 12

• 20x + 8

• 10x + 12

• 10x + 8

What operation should be used to find the total cost of a ticket given the base price and service charge?

• Multiplication

• Addition

• Division

• Subtraction