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Laabri

Lesson 5.2 THE Fundamental Theorem of Algebra

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Last updated almost 2 years ago
10 Nsɛmmisa
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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.

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2.

Find all the roots of each of the polynomial equation.

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3.

Find all the roots of each of the polynomial equation.

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4.

Find all the roots of each of the polynomial equation.

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5.

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

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6.

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

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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.

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8.

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

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9.

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

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10.

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