1. Algebra 2/TrigonometryName: __________________________ 6.6 WorksheetDate: ________________ Block: _____ For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative minima/maxima, and the basic shape using the Leading Coefficient Test). 1.) 2.) (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________ (d) Relative Minima/Maxima: _________________________________________________________ (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________ (d) Relative Minima/Maxima: _________________________________________________________

2. For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative minima/maxima, and the basic shape using the Leading Coefficient Test). 3.) 4.) Note: you may need to change the scale on the y-axis. (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________ (d) Relative Minima/Maxima: _________________________________________________________ (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________ (d) Relative Minima/Maxima: _________________________________________________________

3. For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative minima/maxima, and the basic shape using the Leading Coefficient Test). 5.) 6.) (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Factored Form: ____________________________________ (d) Relative Minima/Maxima: _________________________________________________________ (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Factored Form: ____________________________________ (d) Relative Minima/Maxima: _________________________________________________________

4. For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative minima/maxima, and the basic shape using the Leading Coefficient Test). 7.) 8.) (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________ (d) Relative Minima/Maxima: _________________________________________________________ (a) Describe End Behavior: As x  , ________. And as x  - , ________. (b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________ (d) Relative Minima/Maxima: _________________________________________________________ Note: you should change the scale on the y-axis.