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2.7 Multiplying Polynomials (Due 9/12/2025)

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Last updated 2 months ago
50 questions
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Essential Question: How can we multiply two together polynomials to create a new polynomial?

Learning Target: Students will be able to multiply polynomials using the distributive property and combine like terms to simplify the product.

Complete the entire assignment and show work for full credit.

When answering question that require writing, use complete sentences that are in your own words.

Identifying parts of expressions and simplifying expressions

Question 1
1.

Identify the variable terms, constant terms, and coefficients

Question 2
2.

Identify the variable terms, constant terms, and coefficients

Question 3
3.

Identify the variable terms, constant terms, and coefficients

Question 4
4.

Identify the variable terms, constant terms, and coefficients

Question 5
5.
Identify and classify the parts of this polynomial:


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

# of Terms (1, 2, 3, etc.):_______
Question 6
6.
Identify and classify the parts of this polynomial:



Degree (first, second, third, etc.)_______
# of Terms (1, 2, 3, etc.):_______
Question 7
7.
Identify and classify the parts of this polynomial:




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

# of Terms (1, 2, 3, etc.):_______
Question 8
8.
Identify and classify the parts of this polynomial:




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

# of Terms (1, 2, 3, etc.):_______
Question 9
9.
Identify and classify the parts of this polynomial:


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

# of Terms (1, 2, 3, etc.):_______
Question 10
10.

Directions: Write the following polynomials in standard form.


Question 11
11.

Directions: Write the following polynomials in standard form.

Question 12
12.

Directions: Write the following polynomials in standard form.

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Monomial times a Polynomial

Question 21
21.
Question 22
22.

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

Question 23
23.

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

Question 24
24.

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

Question 25
25.

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

Question 26
26.

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

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.

Distribute then Combine Like Terms

Question 32
32.

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

Question 33
33.

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

Question 34
34.

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

Question 35
35.

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

Question 36
36.

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

Day 2 9/12/25

Spiral Review

Simplifying Radicals

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10
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Multiplying Radicals

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10
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Product Rule

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10

Quotient Rule

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Power Rule

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Negative Exponents

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10

Mixed Exponent Problems

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20

Learning Log

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5
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Classifying Polynomials

Question 13
13.

Question 14
14.

Question 15
15.

Question 16
16.

Question 17
17.

Question 18
18.

Question 19
19.

Question 20
20.

Question 37
37.

Simplify this radical.

Question 38
38.

Simplify each radical

Question 39
39.

Simplify this expression that contains radicals.

Question 40
40.

Simplify this expression that contains radicals.

Question 41
41.

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

Question 42
42.

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

Question 43
43.

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

Question 44
44.

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

Question 45
45.

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

Question 46
46.

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

Question 47
47.

Question 48
48.

Question 49
49.

Question 50
50.

Classify the polynomial below based on the number of terms.

monomial: it has one term
trinomial; it has three terms
binomial: it has two terms
Classify the polynomial below based on its degree.

4th degree
1st degree
2nd degree
3rd degree
Classify the polynomial below based on its degree.

4th degree
1st degree
2nd degree
3rd degree
Classify the polynomial below based on the number of terms.

binomial: it has two terms
trinomial; it has three terms
monomial: it has one term
Classify the polynomial below based on its degree.

7th degree; because the the highest coefficient is 7
3rd degree; because you add up all the exponents
2nd degree; the highest exponent is 2
1st degree; the middle tern has an exponent of one
Classify the polynomial below based on the number of terms.
binomial: it has two terms
monomial: it has one term
trinomial; it has three terms
Classify the polynomial below based on its degree.
2nd degree
4th degree
3rd degree
1st degree
Find the degree of the monomial below.

9th degree; it is the highest exponent
2nd degree; it is the lowest exponent
11th degree: because you add the exponents together
4th degree; it is the coefficient