Lesson 5.2 THE Fundamental Theorem of Algebra

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10 questions
3

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

3

Find all the roots of each of the polynomial equation.

3

Find all the roots of each of the polynomial equation.

3

Find all the roots of each of the polynomial equation.

3

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

3

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

3

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.
2

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

3

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

4

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