Multiplying Monomials

Multiplying and Dividing Polynomials

Topic 7.1

Circle inside a Square

The outer radius of the circle can be represented by 2x. How could you determine the relationship between the area of the circle and the area of the square?

Let us use this Diagram as our reference

Open Ended

What is the side length of the square in terms of x?

Open Ended

a) Write an expression for the area of the circle.

b) Write an expression for the area of the square.

There are two possible answers, but either way you are going to end up with the second one.

Lets determine the product

• (5x)(2X)

• There are two ways to do this

Multiple Choice

(5x)(2x) ... what do you think the answer is

• 7x

• 7x²

• 10x

• 10x²

Use a Model

Use Algebra

Multiple Choice

Find the product of

(x⁴)(x²)

• x⁶

• 2x⁶

• x⁸

• 2x⁸

Multiple Choice

Find the product of

(12m²)²

• 144m⁴

• 12m⁴

• 144m

Multiple Choice

Find the product of

(a²)(2a³)

• 2a⁶

• 2a⁵

• 3a⁵

Another Example

• (3x)(2y)

Multiple Choice

Find the product of

(3xy)(3y)

• 9xy²

• 9x²y²

Multiple Choice

Find the product of

(2e)(2ec²)

• 4e²c²

• 4ec

• 4ec²

Multiple Choice

Find the product of

(x⁶)(xy²)

• x⁶y²

• x6y3

• x⁷y²

Multiple Select

So when you are Multiplying Mononomials you should (Select all the ones that are correct)

• Add the Coefficients

• Multiply the Coefficients

• Add the Exponents

• Multiply the exponents

• Combine all the parts into one standard form term

Check Point

Are there any questions about Multiplying Monomials.