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2.7 Multiplying Polynomials (Due 9/12/2025)

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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

Required
10
Question 37
37.

Simplify this radical.

Required
5
Question 38
38.

Simplify each radical

Multiplying Radicals

Required
10
Question 39
39.

Simplify this expression that contains radicals.

Required
10
Question 40
40.

Simplify this expression that contains radicals.

Product Rule

Required
10
Question 41
41.

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

Quotient Rule

Required
10
Question 42
42.

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

Power Rule

Required
10
Question 43
43.

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

Negative Exponents

Required
10
Question 44
44.

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

Mixed Exponent Problems

Required
20
Question 45
45.

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

Required
20
Question 46
46.

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

Learning Log

Required
5
Question 47
47.

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5
Question 48
48.

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5
Question 49
49.

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10

Classifying Polynomials

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.

Classify the polynomial below based on its degree.

Question 16
16.

Classify the polynomial below based on the number of terms.

Question 17
17.

Classify the polynomial below based on its degree.

Question 18
18.

Classify the polynomial below based on the number of terms.

Question 19
19.

Classify the polynomial below based on its degree.

Question 20
20.

Find the degree of the monomial below.

Question 50
50.