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Factor.
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Q. Factor.
- Identify Common Factor: Look for a common factor in all terms.Check if there is a greatest common factor (GCF) that can be factored out from all the terms in the polynomial .The GCF of , , , and is , so there is no common factor other than .
- Group and Factor: Group terms to factor by grouping.Group the terms into two pairs: and .Now, factor out the GCF from each pair.For the first pair, the GCF is , so factor it out: .For the second pair, the GCF is , so factor it out: .
- Write Factored Form: Write the factored form of the polynomial.Notice that both groups now have a common factor of .Factor out from both groups: .
- Check Factored Form: Check the factored form by expanding it to ensure it matches the original polynomial..Reorder the terms to match the original polynomial: .The expanded form matches the original polynomial, so the factoring is correct.
