The polynomial is
.
Find the factors.
\
(Original equation)
Here,
and
.
First table:
\Factor of ![]() | \
Sum of ![]() | \
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Second table:
\Factor of ![]() | \
Sum of ![]() | \
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(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:
)
\
Case (ii):
\
(Original equation)
\
(Substitute
)
(Evaluate powers:
)
(Multiply)
\
(LCM is
)
(Substitute:
)
(Simplify)
Solutions are
or
.