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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 to factor out.
- Grouping for Factoring: Group terms to facilitate factoring 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.Now we have:.Notice that is a common factor in both terms.Factor out from both terms:.
- Check Quadratic Factor: Check if the quadratic factor can be factored further.The quadratic factor does not factor nicely over the integers, and there is no obvious way to factor it further.Therefore, the factored form of the polynomial is:.
