Algebra ii honors day 47
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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

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Algebra ii honors day 47

Algebra II Honors—Day 47


Warmup

Warmup

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


Goals for today

Goals for today

  • Reminders:

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

  • Essential Question/New Material


Essential question

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

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

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

More Practice—Write equations

Why??

Roots:

Factors:

Equation:


More practice write equations1

More Practice—Write equations

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

Roots:

Factors:

Equation:


More practice write equations2

More Practice—Write equations

Roots:

Factors:

Equation: NEXT SCREEN!!!


More practice write equations3

More Practice—Write equations

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

Equation:


Homework

Homework

  • Handout

    • P. 405—even only

    • P. 406—#1, 3


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