Algebra 2 5-6 Complete Lesson: The Fundamental Theorem of Algebra

Problem 2 Got It? What are all the zeros of the function?

Select all that apply.

Vocabulary: Given a polynomial equation of degree n, explain how you determine the number of roots of the equation.

Open-Ended: Write a polynomial function of degree 4 with rational coefficients and two complex zeros of multiplicity 2.

Writing: Describe when to use synthetic division and when to use the Quadratic Formula to determine the linear factors of a polynomial.

Review Lesson 4-3:

1. Create a table and plot the points.

2. Create and graph a quadratic regression model for the data.

Recall Desmos' quadratic regression notation: y1~ax1^2+bx1+c

3. Determine whether the quadratic regression model is appropriate for the data.

4. If the quadratic regression model is not appropriate, remove it. Otherwise, leave it on your graph.

5. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 4-3:

1. Create a table and plot the points.

2. Create and graph a quadratic regression model for the data.

Recall Desmos' quadratic regression notation: y1~ax1^2+bx1+c

3. Determine whether the quadratic regression model is appropriate for the data.

4. If the quadratic regression model is not appropriate, remove it. Otherwise, leave it on your graph.

5. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 4-2: Match each polynomial in factored form on the left with it's standard form on the right.

Vocabulary Review: Classify each expression based on whether or not it is a trinomial.

Use Your Vocabulary: Classify each statement as true or false.

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.

Reflection: Math Success