Algebra 2 5-3 Complete Lesson: Solving Polynomial Equations

Last updated almost 4 years ago
29 questions
Note 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.
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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.

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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

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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.

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Problem 4 Got It?

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

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

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

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

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

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

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

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

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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.

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Review Lesson 1-3: Evaluate the expression for the fiven values of the variables. Enter only a number.
x = 1 and y = -2

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

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

  • -3
  • 2
  • 1
  • -2
  • -5
  • 6
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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.

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Reflection: Math Success