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Lesson 5.2 THE Fundamental Theorem of Algebra

Last updated over 1 year ago

10 questions

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Question 1

1.

Explain how you can use the number of zeros of a polynomial function and their multiplicities to determine the degree of the polynomial function.

Question 2

2.

Find all the roots of each of the polynomial equation.

Question 3

3.

Find all the roots of each of the polynomial equation.

Question 4

4.

Find all the roots of each of the polynomial equation.

Question 5

5.

For each given set of zeros, write the polynomial function that has integer coefficients, a leading coefficient of 1, and the least degree.

Question 6

6.

For each given set of zeros, write the polynomial function that has integer coefficients, a leading coefficient of 1, and the least degree.

Question 7

7.

For each given set of zeros, write the polynomial function that has integer coefficients, a leading coefficient of 1, and the least degree.

Use the graph of the polynomial function to answer questions 8-10.

Question 8

8.

Are the zeros of the polynomial function shown on the graph real or complex? Explain.

Question 9

9.

What type of transformation on the polynomial function would change any complex zeros to real zeros?

Question 10

10.

Can you transform this polynomial function so that it has no real zeros? Explain.