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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 , and since there is no common factor in all terms, we cannot factor out a GCF other than .
- Group for Factoring: Group terms to factor by grouping.Since there is no common factor, we can try to factor by grouping. Group the first two terms together and the last two terms together:Now, factor out the common factors from each group.
- Factor Out Common Factors: Factor out the common factors from each group.From the first group , we can factor out :From the second group , we can factor out :Now we have:
- Factor Out Binomial Factor: Factor out the common binomial factor.We can see that is a common factor in both terms:Factor out :
