Multiply Polynomials Using Models

The shipping container is a rectangular prism. Write a polynomial that represents the volume of the container. Express the answer in standard form.

• (4x-3)(x+1)(x+2)

Multiply

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(2n + 2)(6n + 1)

• 12n + 2

• 12n² + 2

• 12n² + 12n + 2

• 12n² + 14n + 2

Draw a set of algebra tiles that models the solution of the following \(3x^2+4x+2\)-\(x^2-5x-5\)

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

(4a + 2)(6a² − a + 2)

• 24a³ + 16a² + 6a + 4

• 24a³ + 8a² + 10a + 4

• 24a³ + 8a² + 6a + 4

• 24a³ - 8a² - 6a + 4

(n² + 6n − 4)(2n − 4)

• 2n³ + 16n² − 32n + 16

• 2n³ + 8n² − 32n + 16

• 2n³ + 8n² − 12n + 16

• 2n³ + 8n² − 32n - 16

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

Multiply
x²(2x+3)

• x²+2x+3

• 2x+3

• 2x²+3x

• 2x³+3x²