\"\"

\

The polynomial equation is \"\".

\

Make a table of values.

\ \
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\

Observe the table:

\
\

Since \"\" is a third degree polynomial, since it has either \"\" or \"\" real zeros.

\

The change in sign indicates that there is a zero between \"\" and \"\".

\
\

Graph:

\

Graph the function \"\".

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Plot the points obtained in the table.

\

\"\"

\

Observe the graph:

\

The function has relative minima at \"\"-coordinate \"\" and it has relative maxima at \"\"-coordinate \"\".

\

\"\"

\

The function has relative minima at \"\"-coordinate \"\" and it has relative maxima at \"\"-coordinate \"\".