Graphing Polynomials Worksheet Name:
Precalculus NONCALCULATOR! Name: _______________________
2.2 Graphing Polynomials (factored form) Homework
I. Sketch the following polynomials on the axis provided. Find all the zeros for each polynomial, indicate any multiplicities other than 1, and determine end behavior.
1) [pic] 2) [pic] 3) [pic]
Leading term ________ Leading term ________ Leading term ________
End Behavior: _____ End Behavior: _____ End Behavior: _____
Zeros: ______________ Zeros: _______________ Zeros: ______________
mult:_________________ mult:_________________ mult:_________________
4) [pic] 5) [pic] 6) [pic]
Leading term ________ Leading term ________ Leading term ________
End Behavior: _____ End Behavior: _____ End Behavior: _____
Zeros: ______________ Zeros: _______________ Zeros: ______________
mult:_________________ mult:_________________ mult:_________________
II. Find an equation for the following polynomials. (Factored form.)
7. 8. 9.
5th degree 6th degree 8th degree
_______________________ _____________________ _____________________
III A complete graph of a polynomial is shown. a) Is the degree even or odd? b) Is the leading coefficient positive or negative? c) What are the real zeros? d) What is the smallest possible degree?
10. 11.
a) ______________________ a) ____________________
b) ______________________ b) ____________________
c) ______________________ c) _____________________
d) ______________________ d) _____________________
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