Aim: How do we multiply monomials with polynomials?

Do Now: 1. Solve:(3 – 4x + 2) – (2. What is another way to write?3. Evaluate:a. (4x3) • (3x2) b. () •(4x)c. (-5x) (-x)

Agenda

• Do Now• Homework Check• Review of Friday’s lesson• Lesson• Practice

Homework# 4 due Wednesday 9/181) (-4b)• (-6b)2) (-8r)(-2r) 3) (6x)(-3y)4) (5) (-7There will be a quiz this Wednesday. The quiz will be on adding and subtracting monomials and polynomials.

Homework Check

1. = 2. (3)(4) = 123. (4) (5) = 4. (4)(5)()= 5. (3(4 + 5y) Will be reviewed in class

Do Now

1. Solve:(3 – 4x + 2) – (

Do Now

2. What is another way to write?

Do Now

3. Evaluate:a. (4x3) • (3x2)

b. () •(4x)

c. (-5x) (-x)

ReviewWrite out what is means:Example: ==Then() =

On Friday we learned:

(4x3) • (3x2) 1) Multiply the constants.

(4• 3) = 122) Multiply like variables.

(x3 • x2) = *Remember for multiplication add exponents!*3) Put the terms next to each other!(4 • 3)(x3 • x2) = 12

Practice together!

()(1)

2)

3)

Another one!

(3xy)(4

Last one!

(𝑥¿¿2)(3 𝑥𝑦 )¿

Independent Practice

1. ((4)2. (()3. (()4. (()5. (()6. (()

Monomial times a polynomial

For multiplying a monomial with a polynomial, use the distributive property.

(5x3)(4x + 6x2) 1) Distribute (multiply) the number outside the

parentheses to the first term.

(5x3)(4x + 6x2)

2) Add a plus sign.

3) Multiply the term in front of the parentheses with the second term.

(5x3)(4x + 6x2)

4) Now we are multiplying monomials!

Let’s try together!

3x2 (2x +3)

One more!

(3(4 + 5y)

Try on your own!

1. 9x(5x +3)2. 3x(x4 – 4)3. x( x3 + 3)4. 3x(x4 – 4y)5. x( xy3 + 3y)

1.9x(5x +3)2.3x(x4 – 4)3.x( x3 + 3)4. 3x(x4 – 4y)5.x( xy3 + 3y)

Exit Slip

On a separate sheet of paper, answer the following. When you are done, raise your hand!This will be collected. Don’t forget to write your first and last name! 1. (6

2. 3x(x+2y)