8th Grade Polynomial Operations: Multiply & Factor Fun!

A gardener is planting a rectangular flower bed. The length of the bed is represented by the polynomial (2x + 3) meters, and the width is (x + 4) meters. What is the area of the flower bed in terms of x?

• 2x^2 + 7x + 12

• 2x^2 + 11x + 10

• 2x^2 + 11x + 12

• 2x^2 + 8x + 12

A school is organizing a fundraiser. They sell tickets for a play at (3x + 5) dollars each. If they sell (2x + 1) tickets, what is the total revenue generated from ticket sales?

• (2x + 1) - (3x + 5)

• (3x + 5)(2x - 1)

• (3x + 5)(2x + 1)

• (3x + 5) + (2x + 1)

A rectangular pool has a length of (x^2 + 2x) meters and a width of (x + 3) meters. Calculate the area of the pool as a polynomial expression.

• x^2 + 5x + 6

• x^3 + 5x^2 + 6x

• x^3 + 4x^2 + 6

• x^3 + 6x^2 + 5x

A company produces x^2 + 5x + 6 units of a product. If they decide to increase production by (x + 2) units, what will be the new total production expressed as a polynomial?

• x^2 + 6x + 8

• x^2 + 4x + 6

• x^2 + 7x + 10

• x^2 + 5x + 6

A farmer has a field represented by the polynomial (x^2 + 3x) acres. If he decides to divide the field into (x + 1) equal sections, what is the area of each section?

• x + 3

• x + 1

• x + 2

• x + 4

A box has a volume represented by the polynomial (x^3 + 2x^2 + 3x) cubic meters. If the height of the box is (x + 1) meters, what is the area of the base of the box in terms of x?

• x^2 + 2x + 3

• 2x^2 + 3x + 1

• x^3 + 3x + 1

• x^2 + x + 3

A rectangular garden has a length of (x + 5) meters and a width of (x - 2) meters. What is the polynomial expression for the perimeter of the garden?

• 2x + 6

• 3x + 8

• 4x + 6

• 4x + 10

A local bakery sells cookies in boxes. Each box contains (x^2 + 4x + 4) cookies. If they sell (x + 2) boxes, how many cookies do they sell in total?

• (x + 4)

• (x + 2)(x + 2)

• (x + 2)^3

• (x^2 + 2x + 2)

A car rental company charges a base fee of (2x + 10) dollars plus (x + 5) dollars per day. Write a polynomial expression for the total cost of renting a car for x days.

• x^2 + 7x + 10

• x^2 + 10x + 5

• 2x^2 + 10x + 5

• x^2 + 5x + 10

A construction project requires (x^2 + 3x) tons of materials. If they find a way to reduce the amount needed by (x + 1) tons, how much material will they need now, expressed as a polynomial?

• x^2 + 2x - 1

• x^2 + 4x

• x^2 + 3x + 1

• x^2 + 2x + 1