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Algebra II Honors—Day 47PowerPoint Presentation

Algebra II Honors—Day 47

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Presentation Transcript

Warmup

- Tell the number of possible positive, negative, and imaginary zeros for the following function:

Goals for today

- Reminders:
- Group quiz tomorrow—on new material through Descartes’ Rule of Signs

- Essential Question/New Material

Essential Question

- How do I find the roots of a polynomial function?
- How do I determine an equation and graph of a polynomial function given its roots?

Rational Zero Theorem

- Use Descartes’ Rule of Signs to identify the number of possible positive and negative zeros.
- Use handout for notes and examples on the Rational Zero Theorem.

Writing equations from roots

- When you know ALL the roots of an equation, write the FACTORS and multiply them together.
- EXAMPLE: Given these roots, write the equation
- Use the roots to write the factors and multiply them.

More Practice—Write equations

Multiply the complex conjugates first to get rid of the imaginary number

Roots:

Factors:

Equation:

More Practice—Write equations

Multiply the two factors with imaginary numbers to get a difference of squares.

Equation:

Homework

- Handout
- P. 405—even only
- P. 406—#1, 3

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