Polynomial Division in Real-Life Scenarios for Grade 8

A farmer has a rectangular field represented by the polynomial x^2 + 5x + 6. He wants to divide it into smaller plots, each represented by the polynomial x + 2. How many plots can he create?

• x + 5

• x + 4

• x + 1

• x + 3

Tags

CCSS.HSA.APR.D.6

A school is organizing a fundraiser and has raised money represented by the polynomial 3x^2 + 12x + 12. If they want to divide this amount equally among x + 4 students, how much will each student receive?

• 3x + 4

• x + 4

• 12x + 12

• 3x

Tags

CCSS.HSA.APR.D.6

A company produces a product represented by the polynomial 2x^3 + 8x^2 + 10x. If they want to package it in boxes that can hold x + 2 units, how many boxes will they need?

• x^3 + 4x^2 + 5x

• 3x^2 + 2x + 1

• 2x^2 + 4x + 2

• 2x^2 + 6x + 3

Tags

CCSS.HSA.APR.D.6

A recipe calls for a mixture represented by the polynomial 4x^2 + 8x + 4. If the mixture is to be divided into portions represented by the polynomial 2x + 2, how many portions can be made?

• 2(x + 2)

• 2(x + 1)

• 4(x + 1)

• 2x + 4

Tags

CCSS.HSA.APR.D.6

A car rental service has a fleet represented by the polynomial x^3 + 3x^2 + 4x. If they want to divide the cars into groups represented by the polynomial x + 1, how many groups can they form?

• 4

• 1

• 2

• 3

Tags

CCSS.HSA.APR.D.6

A construction company has a budget represented by the polynomial 5x^2 + 20x + 15. If they want to allocate this budget equally among projects represented by the polynomial x + 3, how much will each project receive?

• 5x + 3

• 5x + 7

• 5x + 10

• 5x + 5

Tags

CCSS.HSA.APR.D.6

A bookstore has a collection of books represented by the polynomial 6x^2 + 18x + 12. If they want to arrange them in shelves represented by the polynomial 3x + 6, how many shelves will they fill?

• 2(x + 1)

• 4(x + 1)

• x + 6

• 3(x + 2)

Tags

CCSS.HSA.APR.D.6

A gardener has a flower bed represented by the polynomial 7x^2 + 14x + 7. If he wants to divide it into sections represented by the polynomial 7, how many sections will he create?

• 4

• 3

• 1

• 2

Tags

CCSS.HSA.APR.D.6

A tech company has a software represented by the polynomial 4x^3 + 8x^2 + 4x. If they want to distribute it in packages represented by the polynomial 4x, how many packages will they distribute?

• 4x^2 + 4

• x^2 + 2x + 1

• x^2 + 2x

• 4x^3 + 8x

Tags

CCSS.HSA.APR.D.6

A charity event has donations represented by the polynomial 9x^2 + 27x + 18. If they want to divide this amount among volunteers represented by the polynomial 3x + 6, how much will each volunteer receive?

• 3(x + 1)

• 2(x + 3)

• 5(x + 1)

• 4(x + 2)

Tags

CCSS.HSA.APR.D.6