Mastering Polynomial Multiplication & Division in Real Life

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

• x^2 + 11x + 12

• 2x^2 + 7x + 12

• 2x^2 + 8x + 10

• 2x^2 + 11x + 12

A school is organizing a fundraiser and sells two types of tickets. The price of the first type is represented by the polynomial (3x + 5) dollars and the second type is (2x + 7) dollars. If they sell 4 tickets of the first type and 3 tickets of the second type, what is the total revenue in dollars?

• 15x + 32

• 10x + 25

• 20x + 50

• 18x + 41

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 square meters?

• 2x^2 + 3x + 1

• x^3 + 3x + 1

• x^2 + x + 3

• x^2 + 2x + 3

A car rental company charges a base fee represented by the polynomial (50 + 2x) dollars per day and an additional fee of (3x + 10) dollars for insurance. If a customer rents a car for 5 days, what is the total cost in dollars?

• 250 + 10x

• 260 + 13x

• 300 + 5x

• 200 + 15x

A rectangular swimming pool has a length represented by the polynomial (3x + 2) meters and a width of (x + 5) meters. What is the perimeter of the pool in meters?

• 6x + 10

• 8x + 14

• 4x + 12

• 10x + 14

A factory produces two types of toys. The profit from the first type is represented by the polynomial (4x^2 + 3x) dollars and from the second type is (2x^2 + 5x) dollars. What is the total profit from producing both types of toys in dollars?

• 2x^2 + 3x

• 4x^2 + 5x

• 6x^2 + 8x

• 5x^2 + 7x

A recipe requires (2x^2 + 3x + 1) cups of flour for a batch of cookies. If you want to make 3 batches, how many cups of flour do you need in total?

• 2x^2 + 3x + 1

• 5x^2 + 7x + 1

• 4x^2 + 6x + 2

• 6x^2 + 9x + 3

A farmer has a field represented by the polynomial (x^2 + 4x + 4) acres. If he divides the field into smaller plots, each represented by (x + 2) acres, how many plots can he create?

• x + 4

• x + 2

• x + 3

• x + 1

A bookstore sells a novel for (5x + 10) dollars and a magazine for (3x + 5) dollars. If a customer buys 2 novels and 3 magazines, what is the total cost in dollars?

• 25x + 50

• 10x + 20

• 19x + 35

• 15x + 30

A construction company is building a wall with a length represented by the polynomial (x^2 + 2x) meters and a height of (x + 3) meters. What is the total area of the wall in square meters?

• 2x^2 + 6x

• x^2 + 5x + 9

• x^2 + 6x + 3

• x^3 + 5x^2 + 6x