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# Algebra II Honors—Day 47 - PowerPoint PPT Presentation

Algebra II Honors—Day 47. 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.

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### Algebra II Honors—Day 47

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

• Reminders:

• Group quiz tomorrow—on new material through Descartes’ Rule of Signs

• Essential Question/New Material

• 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?

• 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.

• 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.

Why??

Roots:

Factors:

Equation:

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

Roots:

Factors:

Equation:

Roots:

Factors:

Equation: NEXT SCREEN!!!

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

Equation:

• Handout

• P. 405—even only

• P. 406—#1, 3