\"\"

\

The polynomial is \"\".

\

Find the factors.

\

\"\"                               (Original equation)

\

\"\"                   (Subtract \"\" from each side)

\

\"\"                         (Apply additive inverse property: \"\")

\

Here \"\" and \"\".

\

First table:

\ \
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Factor of \"\"Sum of \"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\

Second table:

\

\"\"              (Write the pattern)

\

\"\"             (Substitute \"\" and \"\")

\

\"\"        (Group terms with common factors)

\

\"\"   (Factor the G.C.F)

\

\"\"              (Distributive property: \"\")

\

\"\" or \"\"       (Apply zero productive property: \"\")

\

\"\" or \"\"                    (Simplify)

\

Solutions are \"\" or \"\".

\

\"\"

\

Check solution for \"\"-values.

\

Case (i):

\

\"\"                             (Original equation)

\

\"\"                  (Substitute \"\")

\

\"\"                  (Evaluate powers: \"\")

\

\"\"                            (Multiply)

\

\"\"                                       (Substitute: \"\")

\

\"\"                                            (Simplify)

\

Case (ii):

\

\"\"                             (Original equation)

\

\"\"             (Substitute \"\")

\

\"\"                 (Evaluate powers: \"\")

\

\"\"                                      (Multiply)

\

\"\"                                            (Substitute: \"\")

\

\"\"

\

Solutions are \"\" or \"\".