Name______________________________period____
Graph Higher Order Polynomial ASSIGNMENT
ALGEBRA II UNIT 10 Graphing Higher Order Polynomials
1. Given the equation: How many solutions are there? 3 x 4  x 3  7 x 2  x  4  0 .
List all potential rational solutions using the rational root theorem:
Do synthetic division with the following solutions from your list.
x  1 and x  1
List the factors
Find the 2 remaining zeros by factoring
List all 4 zeros:
Plot all zeros on the graph, consider the end behavior and then sketch the graph.
Write the end behavior: _________________________________
_________________________________
Domain:__________________ Range:_____________________
2. Given the equation: How many solutions are there?  x 3  x 2  17 x  15  0
List all potential rational solutions using the rational root theorem:
Do synthetic division with x  1
List the linear and non – linear factors:
Find the 2 remaining zeros by factoring
List all 4 zeros:
Plot all zeros on the graph, consider the end behavior and then sketch the graph.
Write the end behavior: _________________________________
_________________________________
Domain:__________________ Range:_____________________
3. Given the equation: How many solutions are there? 5 x 6  20 x 5  5 x 4  20 x 2  40 x  0
List all potential rational solutions using the rational root theorem:
Do synthetic division with the following solutions from your list.
x  1, x  2 and x  2
List the linear and non – linear factors:
Find the 2 remaining zeros by factoring
List all 6 zeros:
Plot all zeros on the graph, consider the end behavior and then sketch the graph.
Write the end behavior: _________________________________
_________________________________
Domain:__________________ Range:_____________________
4. Given the equation: How many solutions are there?  x 5  8 x 4  13 x 3  22 x 2  32 x  32  0
List all potential rational solutions using the rational root theorem:
Do synthetic division with x  1
List the linear and non – linear factors:
Find the 2 remaining zeros by factoring
List all 4 zeros:
Plot all zeros on the graph, consider the end behavior and then sketch the graph.
Write the end behavior: _________________________________
_________________________________
Domain:__________________ Range:_____________________