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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 terms of the polynomial .The GCF of , , , and is , so there is no common factor other than .
- Grouping for Factoring: Group terms to facilitate factoring by grouping.We can group the terms as follows: and .Now we will look for common factors within each group.
- Factor Out from First Group: Factor out the common factor from the first group.In the first group , we can factor out , which gives us .
- Factor Out from Second Group: Factor out the common factor from the second group.In the second group , we can factor out , which gives us .
- Write Factored Form: Write the factored form of the polynomial.We now have . Notice that is a common factor.We can factor out of both terms, which gives us .
- Check Further Factoring: Check for any further factoring possibilities.The terms and do not have any common factors, and cannot be factored further over the integers.Therefore, the factored form of the polynomial is .
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