Factoring Polynomials: Grouping in Real-Life Scenarios

A farmer has a rectangular field with an area of 60x^2 + 48x square meters. If the length of the field is 12x, what is the width of the field?

• 5x + 4

• 6x + 2

• 3x + 10

• 4x + 5

A school is organizing a play and has 24x^2 + 36x tickets to sell. If they want to group the tickets into bundles of 12x, how many bundles can they create?

• 2x + 3

• 3x + 2

• 2x + 4

• 4x + 1

A gardener is planting flowers in a garden bed that can hold 15x^2 + 10x square feet of soil. If each section of the bed can hold 5x square feet, how many sections can the gardener create?

• 5x + 3

• 3x + 2

• 4x + 1

• 2x + 5

A company produces 20x^2 + 30x widgets. If they want to package these widgets in boxes that can hold 10x widgets each, how many boxes will they need?

• 2x + 4

• 2x + 2

• 2x + 3

• 3x + 3

A recipe calls for 18x^2 + 24x grams of sugar. If each serving uses 6x grams of sugar, how many servings can be made?

• 2x + 6

• 4x + 2

• 3x + 4

• 3x + 2

A car rental service has 28x^2 + 42x cars available. If they want to group the cars into groups of 14x, how many groups can they form?

• 14x + 1

• 2x + 2

• 3x + 4

• 2x + 3

A construction project requires 36x^2 + 54x bricks. If each wall uses 18x bricks, how many walls can be built?

• 3x + 2

• 4x + 1

• 2x + 3

• 5x + 4

A bookstore has 40x^2 + 60x books to arrange. If they want to display them in rows of 20x books, how many rows will they have?

• 2x + 2

• 3x + 3

• 2x + 4

• 2x + 3

A sports team has 32x^2 + 48x jerseys. If they want to pack them into bags that can hold 16x jerseys each, how many bags will they need?

• 4x + 1

• 3x + 3

• 2x + 2

• 2x + 3

A bakery has 50x^2 + 75x cookies to sell. If they want to group the cookies into boxes that can hold 25x cookies each, how many boxes will they fill?

• 50x + 75

• 3x + 5

• 2x + 2

• 2x + 3