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#21 Introduction to Polynomials Due 10/23/20

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Introduction to Polynomials Due 10/23/20

Monday 10/19/20

Essential Question: What are polynomial expressions, and how do you simplify them?


Learning Objective: Students will be able to recognize different parts of polynomials and combine them together using addition, subtraction, and multiplication.


Show your work for credit.

Question 1
1.

Graphic Organizer: Polynomial Basics

Question 2
2.

Graphic Organizer: Types of Polynomials

Please watch the video below to get started with the lesson.↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

Did you watch the video?

Question 3
3.

What are the three basic parts of all polynomials? (Use the graphic organizer to help you answer.)

Question 4
4.

What is one example of something that is not a polynomial? (Use the graphic organizer to help you answer.)

Question 5
5.

What math operations are used to separate terms? Hint: there are only two mathematical operations. (Use the graphic organizer to help you answer.)

Question 6
6.

Question 7
7.

Classify the polynomial below based on the number of terms.

Question 8
8.

Classify the polynomial below based on its degree.

Question 9
9.

Classify the polynomial below based on the number of terms.


Question 10
10.

Classify the polynomial below based on its degree.



Question 11
11.

Classify the polynomial below based on the number of terms.



Question 12
12.

Classify the polynomial below based on its degree.




Question 13
13.

Classify the polynomial below based on the number of terms.


Question 14
14.

Classify the polynomial below based on its degree.

Question 15
15.

Find the degree of the monomial below.


Question 16
16.

Classify the polynomial below based on the number of terms. Hint: Check the notes or watch the video above.


Question 17
17.

Find the degree of the monomial below. (Hint: add the exponents together.)

Question 18
18.

Find the degree of the polynomial below. (Hint what is the highest exponent?)

Question 19
19.

How many terms does this polynomial have?

Question 20
20.

Find the degree of the polynomial below. (Hint what is the highest exponent?)


Question 21
21.

When we are talking about polynomials, what does the word term refer to?

Question 22
22.

When we are talking about polynomials, what does the word degree refer to?

Tuesday 10/20/20

Combining Polynomials

Please watch the video below to learn about combining polynomials.↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

Did you?

Here is a shorter clip to help you add polynomials.

Question 23
23.

Guided Practice:

Find the sum of these polynomials. (Add them)

Question 24
24.

Find the sum of these polynomials. (Add them)


Question 25
25.

Find the sum of these polynomials. (Add them)



Question 26
26.

Find the sum of these polynomials. (Add them)


Here is a shorter clip to help you subtract polynomials.

Question 27
27.

Guided Practice:

Find the difference between these polynomials. (subtract them)

Question 28
28.

Find the difference between these polynomials. (subtract them)


Question 29
29.

Find the difference between these polynomials. (subtract them)



Review

Question 30
30.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.



Question 31
31.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.

Question 32
32.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.


Wednesday 10/21/20


Question 33
33.

Guided Practice:

Question 34
34.

Guided Practice:

Question 35
35.

Find the Product:


Question 36
36.

Find the Product:

Question 37
37.

Find the Product:


Question 38
38.

Find the Product:

Thursday 10/22/20

Multiplying Binomial X Binomial

Tutorial Video

Box Method for multiplying polynomials



Question 39
39.

Guided Practice:

Find the Product

Question 40
40.

Guided Practice:

Find the Product

Question 41
41.

Find the Product

Question 42
42.

Find the Product

Question 43
43.

Find the Product

Tutorial Video

Box Method for multiplying polynomials




Question 44
44.

Find the Product

Review Concepts

Question 45
45.

Find the sum of these polynomials. (Add them)

Question 46
46.

Find the difference between these polynomials. (subtract them)


Which of the following are polynomials? Select all that apply.

1st degree
1st degree; the middle tern has an exponent of one
2nd degree; the highest exponent is 2
3rd degree; because you add up all the exponents

9th degree; it is the highest exponent