Multiply Polynomials

If a gardener plants 6v trees in each of the 2v + 3 rows of a garden, how many trees in total would there be?

• 12v+18

• 15v² + 8v

• 12v² + 18v

• 12v² + 18v²

Tags

CCSS.HSA.APR.A.1

Imagine you're designing a rectangular garden, and the length is represented by the expression (2n + 2) meters, while the width is (6n + 1) meters. What is the area of the garden in terms of n?

• 12n + 2

• 12n² + 2

• 12n² + 12n + 2

• 12n² + 14n + 2

Tags

CCSS.HSA.APR.A.1

A mathematician is working on a problem involving polynomial multiplication and comes across the expression (x − 3)(6x − 2). What is the simplified form of this expression?

• 6x² − 20x + 6

• 6x² + 20x - 6

• 6x² +6

• 6x + 6

Tags

CCSS.HSA.APR.A.1

(x+10)(x-10)

• x²  - 100
• x² + 100
• x² + 20x - 100
• x² -20x + 100

Tags

CCSS.HSA.APR.C.4

John is calculating the total cost of two construction projects. The cost of the first project is represented by the expression (4n² - 8n + 4) dollars, and the cost of the second project is (8n² + 4n + 1) dollars. If John wants to find the net cost difference between the first and the second project, which expression should he use?

• -4n² - 12n + 3

• -12n² - 12n + 5

• -4n² - 4n + 3

• -12n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

If John has 2x apples and he owes 2x + 3 apples to his friend, how many apples does he have after returning the debt?
Simplify the expression: 2x ( -2x -3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Tags

CCSS.HSA.APR.A.1

Imagine you're a mathematician working on polynomial expressions. You're currently exploring the product of two binomials:
(4x+3)(2x-1). What is the simplified form of this expression?

• 8x²-2x-3

• 8x-3

• 8x²+6x-3

• 8x²+2x-3

Tags

CCSS.HSA.APR.A.1

A mathematician is working on a polynomial expansion for a project and comes across the expression (5x+2)(x²-3x+6). What is the expanded form of this expression?

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Tags

CCSS.HSA.APR.A.1

A gardener is planning to expand his garden and decides to add two rectangular sections, one measuring (x + 7) meters on one side and the other measuring (x + 9) meters on another side. If he wants to calculate the total area of the new sections combined, which formula should he use?

• x² + 63x + 16

• x² + 16x + 63

• x² + 79

• x² + 16x + 2

If John wants to calculate the profit (P) from his lemonade stand, and the profit can be modeled by the equation (P + 7)(P - 2), what is the expanded form of this equation?

• P² - 5P + 5

• P² - 9P - 14

• P² - 5P - 14

• P² + 5P - 14

Tags

CCSS.HSA.APR.A.1