WARM - UP 1.Given the following information sketch a graph of the polynomial: 2.Find all of the roots of the following polynomial:

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Presentation transcript:

WARM - UP 1.Given the following information sketch a graph of the polynomial: 2.Find all of the roots of the following polynomial:

WRITING POLYNOMIALS GIVEN THE ROOTS -NOTES -PRACTICE

STEPS: Write each zero has a factor x=#, and move the # to the other side put in ( ) Multiply each factor together [distribute] Check that the degree matches the number of zeros you had to begin with! Plug function into calculator and check for rational roots in table! ***Remember: i come in pairs!!!***

FIND THE POLYNOMIAL WITH THE GIVEN ROOTS:

***You always want to multiply the radicals or imaginaries together FIRST!

FIND THE POLYNOMIAL WITH THE GIVEN ROOTS: ***You always want to multiply the radicals or imaginaries together FIRST!

FIND THE POLYNOMIAL WITH THE GIVEN ROOTS:

FINDING THE INTERSECTION OF POLYNOMIALS GRAPHICALLY SUBSTITUTION

Find the intersection using substitution.

DETERMINE THE NUMBER OF POINTS OF INTERSECTION GRAPHICALLY 1 or 2

NOW, DETERMINE THE POINTS OF INTERSECTION WITH THE GRAPHING CALCULATOR

Find the intersection using a graphing calculator.

Find the intersection using the graphing calculator.