$\"\"$

\

The polynomial is $\"\"$ .

\

Find the factors.

\

$\"\"$ (Original equation)

\

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

\

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

\

Here, $\"\"$ and $\"\"$ .

\ \

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

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

\

Second table:

\ \

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

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

\

$\"\"$ (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)

\

$\"\"$ (LCM is $\"\"$ )

\

$\"\"$ (Add: $\"\"$ )

\

Case (ii):

\

$\"\"$ (Original equation)

\

$\"\"$ (Substitute $\"\"$ )

\

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

\

$\"\"$ (Multiply)

\

$\"\"$ (Add: $\"\"$ )

\

$\"\"$

\

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