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Lesson 5: Operations on Polynomials

Lesson 5: Operations on Polynomials

Assessment

Presentation

•

Mathematics

•

University

•

Practice Problem

•

Easy

•
CCSS
HSA.APR.A.1, HSA.APR.D.6

Standards-aligned

Created by

Bradley Stephan Duda

Used 20+ times

FREE Resource

31 Slides • 5 Questions

1

Poll

On a scale of 1-5, how confident do you feel about performing addition and subtraction on polynomials?

Ex) (2x2+3x+1)+(x2+4x+5)\left(2x^2+3x+1\right)+\left(x^2+4x+5\right)  

1. I do not remember anything about polynomials

2. I need to review the vocabulary and how to perform each operation

3. I remember some of the operations, but I could use some more help

4. I am comfortable with addition and subtraction and feel fairly confident

5. I am ready to move on to multiplication and division

2

Important vocabulary

​Monomials

3

Important vocabulary

​Monomials

​Binomials

4

Important vocabulary

​Monomials

​Binomials

​Trinomials

​Polynomials

5

Important vocabulary

Terms

  • ​Another name for monomials

6

Important vocabulary

Terms

  • ​Another name for monomials

​Like Terms

7

Important vocabulary

Terms

  • ​Another name for monomials

​Like Terms

​Degree

8

Important vocabulary

Terms

  • ​Another name for monomials

​Like Terms

​Degree

​Degree of a polynomial

  • The largest degree out of ALL terms

9

Important vocabulary

Terms

  • ​Another name for monomials

​Like Terms

​Degree

​Degree of a polynomial

  • The largest degree out of ALL terms

Leading Coefficient

  • The coefficient of the term with the largest degree

10

Distributive Property

11

Distributive Property

12

Distributive Property

13

Fill in the Blanks

Type answer...

14

Adding/Subtracting Polynomials

​​  

​

​

15

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16

Multiplying Polynomials

​When multiplying polynomials, we use the DISTRIBUTIVE property

17

Multiplying Polynomials

​When multiplying polynomials, we use the DISTRIBUTIVE property

18

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Lesson 5.pdf - Google Drive

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19

20

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Lesson 5.pdf - Google Drive

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21

22

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23

Fill in the Blanks

Type answer...

24

25

Dividing Polynomials

​We can do the same for dividing polynomials by monomials!

26

Fill in the Blanks

Type answer...

27

Dividing Polynomials

28

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Lesson 5.pdf - Google Drive

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29

Dividing Polynomials

30

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Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

31

Dividing Polynomials

32

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Lesson 5.pdf - Google Drive

You can open this webpage in a new tab.

33

Poll

Question image

How confident do you feel about the material you learned today?

1

2

3

4

5

34

​Reminders:

  • There are exam resources in Lon Capa

  • Practice Problems for Exam 1, Timed Practice Exam, and Difficult problems from past exams

  • The difficulty of the exam is very similar to the above resources!

  • Come to supplemental instruction, use COSINE, Math Resource Room, Piazza, etc.

35

​Reminders:

  • SIGN UP FOR EXAM IN LON CAPA

  • No Class on Monday

  • Homework due on Sunday

  • Exam #1 is Next Thursday

  • Wednesday's Class will review material for the first exam

36

On a scale of 1-5, how confident do you feel about performing addition and subtraction on polynomials?

Ex) (2x2+3x+1)+(x2+4x+5)\left(2x^2+3x+1\right)+\left(x^2+4x+5\right)  

1. I do not remember anything about polynomials

2. I need to review the vocabulary and how to perform each operation

3. I remember some of the operations, but I could use some more help

4. I am comfortable with addition and subtraction and feel fairly confident

5. I am ready to move on to multiplication and division

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