Algebra 2 5-3 Complete Lesson: Solving Polynomial Equations

4.5 (1 rating)

by Matthew Richardson

| 29 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

20 pts

Solve It! Can you arrange all of these pieces to make a rectangle with no pieces overlapping and no gaps?

The pieces have been recreated as virtual algebra tiles in a Google Drawing.

1. Click here to create a copy of that Google Drawing.

2. Arrange the tiles on the Google Drawing to form a rectangle with no pieces overlapping and no gaps.

3. Take a screenshot of your completed work.

4. Upload your screenshot to the canvas. Resize if necessary.

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 2 Got It?

A

B

C

D

5

5

10 pts

Problem 2 Got It?

A

B

C

D

6

6

10 pts

Problem 2 Got It?

A

B

C

D

7

10 pts

Problem 3 Got It? What are the real solutions of the equation? Select all that apply.

2.13

1.84

0

-2

-1.84

-.73

8

8

10 pts

Problem 3 Got It? Reasoning: In Problem 3, which method seems to be an easier and more reliable way to find the solutions of an equation? Explain.

9

9

10 pts

Problem 4 Got It?

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

15

10 pts

A

B

C

D

16

10 pts

Vocabulary: Identify the expression as a sum of cubes, difference of cubes, or difference of squares.

Difference of cubes

Difference of squares

None of these

Sum of cubes

17

10 pts

Vocabulary: Identify the expression as a sum of cubes, difference of cubes, or difference of squares.

Sum of cubes

Difference of cubes

None of these

Difference of squares

18

10 pts

Vocabulary: Identify the expression as a sum of cubes, difference of cubes, or difference of squares.

Difference of squares

Sum of cubes

Difference of cubes

None of these

19

10 pts

Difference of cubes

None of these

Sum of cubes

Difference of squares

20

10 pts

Sum of cubes

Difference of squares

Difference of cubes

None of these

21

10 pts

Reasoning: Which method of solving polynomial equations will not identify the imaginary roots? Explain.

22

10 pts

Reasoning: Show two different ways to find the real roots of the polynomial equation. Show your steps.

23

10 pts

Review Lesson 5-2: Write the polynomial in factored form. Check by multiplication.

24

10 pts

Review Lesson 4-5: Solve the equation by factoring. Show your work on the canvas. Check your answers. Write your solution(s) in the space provided.

25

10 pts

Review Lesson 1-3: Evaluate the expression for the fiven values of the variables. Enter only a number.

x = 1 and y = -2

26

10 pts

Use Your Vocabulary: Identify the polynomial that is NOT a cubic expression.

27

10 pts

Use Your Vocabulary: Identify the coefficent of each cubic term.

- -3
- 2
- 1
- -2
- -5
- 6

28

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

29

10 pts

Reflection: Math Success

Add to my formatives list

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