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2.7 Exploring Polynomials (Due 9-11-25)

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Day 1 8/29/23

Spiral Review

Question 1
1.

Use the properties of exponents to match each expression to its simplified version.

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Question 2
2.

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

Question 3
3.

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


Question 4
4.

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

Question 5
5.

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


Identifying parts of expressions and simplifying expressions

Question 6
6.

Identify the variable terms, constant terms, and coefficients

Question 7
7.

Identify the variable terms, constant terms, and coefficients

Question 8
8.

Identify the variable terms, constant terms, and coefficients

Question 9
9.

Identify the variable terms, constant terms, and coefficients

Simplifying Expressions

Question 10
10.

Directions: Simplify each expression by combining like terms.

Question 11
11.

Directions: Simplify each expression by combining like terms.

Question 12
12.

Directions: Simplify each expression by combining like terms.

Question 13
13.

Directions: Simplify each expression by combining like terms.

Simplifying Polynomials

Question 14
14.
Use page 6 in your notes to identify and classify the parts of this polynomial:


Degree (first, second, third, etc.):_______

# of Terms (1, 2, 3, etc.):_______
Question 15
15.
Use page 6 in your notes to identify and classify the parts of this polynomial:



Degree (first, second, third, etc.)_______
# of Terms (1, 2, 3, etc.):_______
Question 16
16.
Use page 6 in your notes to identify and classify the parts of this polynomial:




Degree (first, second, third, etc.)_______

# of Terms (1, 2, 3, etc.):_______
Question 17
17.
Use page 6 in your notes to identify and classify the parts of this polynomial:




Degree (first, second, third, etc.)_______

# of Terms (1, 2, 3, etc.):_______
Question 18
18.
Use page 6 in your notes to identify and classify the parts of this polynomial:


Degree (first, second, third, etc.)_______

# of Terms (1, 2, 3, etc.):_______
Question 19
19.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 20
20.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 21
21.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 22
22.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 23
23.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 24
24.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Question 25
25.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Day 2 8/30/23

Monomial times a Polynomial

Question 26
26.
Question 27
27.

Find the product of these expressions. Final answers must be in standard form.


Question 28
28.

Find the product of these expressions. Final answers must be in standard form.


Question 29
29.

Find the product of these expressions. Final answers must be in standard form.


Question 30
30.

Find the product of these expressions. Final answers must be in standard form.


Question 31
31.

Find the product of these expressions. Final answers must be in standard form.


Question 32
32.

Find the product of these expressions. Final answers must be in standard form.


Question 33
33.

Find the product of these expressions. Final answers must be in standard form.


Question 34
34.

Find the product of these expressions. Final answers must be in standard form.


Question 35
35.

Find the product of these expressions. Final answers must be in standard form.


Question 36
36.

Find the product of these expressions. Final answers must be in standard form.


Distribute then Combine Like Terms

Question 37
37.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 38
38.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 39
39.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 40
40.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Question 41
41.

Write an expression in simplest form to represent the area of the shaded region.

Day 3 8/31/23

Spiral Review

Question 42
42.

Classify the polynomial below based on the number of terms.

Question 43
43.

Classify the polynomial below based on its degree.

Question 44
44.

Classify the polynomial below based on its degree.



Question 45
45.

Classify the polynomial below based on the number of terms.



Question 46
46.

Classify the polynomial below based on its degree.




Question 47
47.

Classify the polynomial below based on the number of terms.


Question 48
48.

Classify the polynomial below based on its degree.

Question 49
49.

Find the degree of the monomial below.


Multiplying Binomial X Binomial

Tutorial Video

Box Method for multiplying polynomials



Question 50
50.

Find the Product of this binomial * binomial using the box method.

Question 51
51.

Find the Product of this binomial * binomial using the box method.

Question 52
52.

Find the Product of this binomial * binomial using the box method.

Question 53
53.

Find the Product of this binomial * binomial using the box method.

Question 54
54.

Find the Product of this binomial * binomial using the box method.

Question 55
55.

Find the Product of this binomial * binomial using the box method.

4th degree
3rd degree; because you add up all the exponents
9th degree; it is the highest exponent