cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

Going over Wksht 3 Day 2

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

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cGraphs of Polynomials Day 3 Completed.notebook

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cGraphs of Polynomials Day 3 Completed.notebook

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cGraphs of Polynomials Day 3 Completed.notebook

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Complex Conjugate Theorem: if an imaginary number is a zero of that function, its conjugate is also a zero

± in front of √ and i

Example: A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x) = 0.

1.

2.

and

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. Rules: 1)

If there is a radical or an i, remember to include the extra roots that go with those

2)

Set x = given root

3)

Set = 0

4)

Turn into (

5)

Multiply out all of your (

) factors

Example:  ­3, 2i

) factors

Example:  3i + 9

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

2.  3 + i, ­1

4.  4, ­i, ­5

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

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cGraphs of Polynomials Day 3 Completed.notebook

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

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cGraphs of Polynomials Day 3 Completed.notebook

March 18, 2015

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