Intro to Multiplying Polynomials

Intro to Multiplying Polynomials

We will apply distributive property, exponent rules, and area concepts all together.

Multiple Choice

Simplify (2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Multiple Choice

Simplify the expression.

(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x⁷

• 3x⁷

Multiple Choice

8(x + 5)

• 8x + 13

• 8x + 5

• 8x + 40

• 13x

Multiple Choice

-2(3m + 9)

• -6m + 7

• -6m - 7

• -6m + 18

• -6m - 18

Combine the patterns together

Can you predict how to simplify by combining the product rule with the distributive property?

Multiple Choice

4a(5a² - a + 4)

• 20a³ - 4a² + 16a

• 20a² - 5a + 8a

• 20a² + 4a² + 16a

• 20a³ +3a² + 16a

Multiple Choice

Simplify:
2x (-2x - 3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Now we add in the area model

do you remember arrays?

Multiple Choice

Which area model matches this array?

Multiple Select

Select the equation(s) that the area model represents.

• 5 x 4 = 20

• 4 x 3 = 12

• 6 x 4 = 24

• 2 x 2 = 4

Multiple Choice

The area model represents 38 X 16.

Which answer shows all the correct partial products?

• 300 + 180 + 8 + 48

• 30 + 180 + 80 + 48

• 300 + 180 + 80 + 48

• 300 + 18 + 80 + 48

Multiple Choice

The area model represents 45 X 67.

Which answer shows all the correct partial products?

• 240 + 280 + 300 + 35

• 2400 + 300 + 280 + 35

• 2400 + 280 + 30 + 35

• 2400 + 300 + 28 + 35

Multiple Choice

Use area model to write the answer as area as a product

4(5m +4n)

• 20m +16n

• 5m +4n

• 20m +4n

• m +n