$\"\"$

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The polynomial is $\"\"$ .

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Find the factors.

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$\"\"$ (Original equation)

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

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

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$\"\"$ (Simplify)

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

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

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$\"\"$ (Write the pattern)

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

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$\"\"$ (Group terms with common factors)

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$\"\"$ (Factor the G.C.F)

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

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

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

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The factor of the polynomials are $\"\"$ or $\"\"$ . $\"\"$

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Check solution for $\"\"$ -values.

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Case(i):

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$\"\"$ (Original equation)

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

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

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$\"\"$ (Multiply)

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

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

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$\"\"$ (Simplify)

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Case(ii):

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$\"\"$ (Original equation)

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

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

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$\"\"$ (Multiply)

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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The factor of the polynomials are $\"\"$ or $\"\"$ .