Model Add Subtract and Multiply Polynomials

Mr. Early has a rectangular garden in his back yard with an area of 3x² square meters. He decided to make it larger and the new area will be (3x² + 4x + 5) square meters. What is the difference between the new garden and the original garden? Show your work. "NWNC"

• 4x + 5

• 9x² + 4x + 5

• -4x + 5

• x² + 4x + 5

Find the product for the following binomials. Use the are model. "NWNC"

(2x - 6)(-3x + 2)

• -6x² - 14x - 12

• 6x² + 14x - 12

• -6x² - 22x - 12

• -6x² + 22x - 12

Find the product of (3x – 2) and (3x² - 4x + 5) ? Use the area model. "NWNC"

• 9x³ - 18x² + 23x - 10

• -9x³ + 18x² + 23x - 10

• 9x² - 18x + 13

• 9x⁴- 18x³ + 23x² - 10x

10m³ + 2m² - m - 5

10m⁹ + 2m⁶ - m² - 5

10m³ - 2m² +9m - 5

10m³ + 2m² -9m - 5

• 10m³ + 2m² - m - 5

• 10m⁹ + 2m⁶ - m² - 5

• 10m³ - 2m² +9m - 5

• 10m³ + 2m² -9m - 5

Use the distributive property to simplify the following express. SHOW YOUR WORK. "NWNC"

2(3x - 4)

• 6x - 8

• 6x + 8

• 5x - 6

• 5x + 6

What is the value for "C"?

• 15x

• 10x

• -10

What is the value for "D"?

• 15x

• 10x

• -10

Where does the 3x go?

• A

• B

• C

• D

Where does the -2 go?

• A

• B

• C

• D

What is the value for "A"?

• 15x

• 10x

• -10