ObjectivesThe student will be able to:

1. multiply a monomial and a polynomial.

SOL: A.10, A.11Designed by Skip Tyler, Varina High School

AIM: How do we multiply AIM: How do we multiply monomials and polynomials?monomials and polynomials?

Do Now:Do Now: Simplify the following:

1. 4(6 + 5x)

2. -8(2y + 1)

3. (6 – x)9

HW Review: HW Review:

• Regents Review 9 is due on Tuesday

BIG IDEAS:BIG IDEAS:

• When multiplying monomials and polynomials, you have to remember rules of multiplying exponents:– When multiplying exponents with the same

bases, add the exponents!

add the exponents!

1) Simplify: 5(7n - 2)

Use the distributive property.

5 • 7n

35n - 10

Review:Review: When multiplying variables,

- 5 • 2

3(8 12)

4a a 2) Simplify:

6a2 + 9a

3) Simplify: 6rs(r2s - 3) 6rs • r2s

6r3s2 - 18rs

- 6rs • 3

4) Simplify: 4t2(3t2 + 2t - 5)

12t4

5) Simplify: - 4m3(-3m - 6n + 4p)

12m4

+ 8t3 - 20t2

+ 24m3n - 16m3p

6) Simplify: (27x2 - 6x + 12)

16x3 - 28x2 + 4x

Fooled ya, didn’t I?!? Ha! Ha!

Here’s the real answer!

-9x3 + 2x2 - 4x

x3

Bonus Round #1:Simplify 4y(3y2 – 1)

1. 7y2 – 1

2. 12y2 – 1

3. 12y3 – 1

4. 12y3 – 4y

Bonus Round #2:Simplify -3x2y3(y2 – x2 + 2xy)

1. -3x2y5 + 3x4y3 – 6x3y4

2. -3x2y6 + 3x4y3 – 6x2y3

3. -3x2y5 + 3x4y3 – 6x2y3

4. 3x2y5 – 3x4y3 + 6x3y4

Classwork:• Complete the classwork in pairs.

• What you do not finish will be assigned for homework.

• We will review this assignment during tomorrow’s Do Now. Be prepared to return it to me tomorrow.

Summary: Summary:

• What is the process of multiplying a monomial and a polynomial?