multiplying a polynomial by a monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day...

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day 149 May 8 distributive property alg 82 and basic factoring_hw equations sci not and exp.notebo 1 May 08, 2017 Poly x Mono Multiplying a Polynomial by a Monomial Warm Up: Today, we will review the distributive property. Pay attention to your answers today because tomorrow we will be working backwards. You will get the answer and need to come up with the original problem.

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Page 1: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

1

May 08, 2017

Poly x Mono

Multiplying a Polynomialby a Monomial

Warm Up:

Today, we will review the distributive property. Pay attention to your answers today because tomorrow we will be working backwards. You will get the answer and need to come up with the original problem.

Page 2: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

2

May 08, 2017

May 8­7:50 AM

I Ready Lesson (1)

Then, play Prodigy.

Lab:

Page 3: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

3

May 08, 2017

Apr 8­12:28 PM

Page 4: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

4

May 08, 2017

Apr 20­9:06 AM

Page 5: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

5

May 08, 2017

Poly x Mono

Find the total area of the rectangles.

3

5 8 4

square units

square units

Page 6: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

6

May 08, 2017

Poly x Mono

To multiply a polynomial by a monomial, you use the distributive property together with the laws of exponents for multiplication.Examples: Simplify.

­2x(5x2 ­ 6x + 8)

­2x(5x2 + ­6x + 8)

(­2x)(5x2) + (­2x)(­6x) + (­2x)(8)

­10x3 + 12x2 + ­16x

­10x3 + 12x2 ­ 16x

Page 7: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

7

May 08, 2017

Poly x Mono

To multiply a polynomial by a monomial, you use the distributive property together with the laws of exponents for multiplication.Examples: Simplify.

­3x2(­2x2 + 3x ­ 12)

­3x2(­2x2 + 3x + ­12)

(­3x2)(­2x2) + (­3x2)(3x) + (­3x2)(­12)

6x4 + ­9x3 + 36x2

6x4 ­ 9x3 + 36x2

Page 8: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

8

May 08, 2017

Poly x Mono

12x4y3 ­ 15x3y4 + 24x2y5

Let's Try It! Multiply to simplify.

1.

2. 4x2(5x2 ­ 6x ­ 3)

3. 3xy(4x3y2 ­ 5x2y3 + 8xy4)

­2x4 + 4x3 ­ 7x2

20x4 ­ 24x3 ­ 12x

Slide to check.

Slide to check.

Slide to check.

Page 9: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

9

May 08, 2017

Poly x Mono

1 What is the area of the rectangle shown?

A  

B  C  D  

x2x2 + 2x + 4

Pull

Pull

Page 10: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

10

May 08, 2017

Poly x Mono

2  

A  

B  C  D  

6x2 + 8x ­ 12

6x2 + 8x2 ­ 12

6x2 + 8x2 ­ 12x

6x3 + 8x2 ­ 12x

Pull

Pull

Page 11: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

11

May 08, 2017

Poly x Mono

3  

A  

B  C  D  

Pull

Pull

Page 12: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

12

May 08, 2017

Poly x Mono

4  

A  

B  

C  

D  

Pull

Pull

Page 13: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

13

May 08, 2017

Poly x Mono

5 Find the area of a triangle (A=1/2bh) with a base of 4x and a height of  2x ­ 8.  All answers are in square units.

A  

B  C  D  

Pull

Pull

Page 14: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

14

May 08, 2017

Apr 8­12:32 PM

In-Class Assignment:

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day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

15

May 08, 2017

Apr 3­12:56 PM

This side can be skipped for today:

Page 16: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

16

May 08, 2017

Apr 3­12:57 PM

Homework, due tomorrow. Show work on equations for credit.

Page 17: Multiplying a Polynomial by a Monomialmrsdempseysmathsite.weebly.com/uploads/2/3/7/4/23746185/...day 149 May 8 distributive property alg 8 2 and basic factoring_hw equations sci not

day 149 May 8 distributive property alg 8­2 and basic factoring_hw equations sci not and exp.notebook

17

May 08, 2017

Apr 8­12:34 PM

Ticket out the door: