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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 .
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