Algebra 2 5-6 Guided Practice: The Fundamental Theorem of Algebra
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Last updated almost 3 years ago
14 questions
3 points
3
Question 1
1.
Video Check: Select all that apply with regards to the video embedded directly above this item.
Solve It! The first graph shows the three complex number solutions of the equation:
The second graph shows the six solutions of the equation:
10 points
10
Question 2
2.
Solve It: How many complex number solutions does this equation have?
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Graph a parabola that represents a quadratic function with no real zeros.
Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
5 points
5
Question 5
5.
Take Note: How many linear factors can a 4th-degree polynomial be factored into? Enter only a number.
10 points
10
Question 6
6.
Take Note: Summarize The Fundamental Theorem of Algebra.
14 points
14
Question 7
7.
Take Note: For each function graphed on the right, identify its number of roots, numbers of real and complex roots, and the related equation.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
has 2 roots
has 1 real root & 1 complex root
has 2 real roots & 0 complex roots
has 2 complex roots & 0 real roots
represents y=x^{2}+2x+2
represents y=x^{2}-4
represents y=x^{2}-2x+1
10 points
10
Question 8
8.
Problem 1 Got It?
3 points
3
Question 9
9.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 10
10.
Take Note: Summarize the four-step process used in Problem 1 to find all of the roots of the polynomial equation. You may use the canvas to help illustrate your written summary.
10 points
10
Question 11
11.
Problem 2 Got It? What are all the zeros of the function?
Select all that apply.
Problem 2 Got It? The graph of f(x) is shown.
Recall: The maximum number of turning points of a polynomial function is always one less than the degree of the function.
10 points
10
Question 12
12.
Problem 2 Got It? Use turning points to explain why the graph does not show all of the real zeros of the function.
3 points
3
Question 13
13.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 14
14.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
