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Factor.
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Q. Factor.
- Look for Common Factor: Look for a common factor in all terms.Check if there is a common factor that can be factored out from all terms in the polynomial .There is no common factor other than .
- Group Terms for Factoring: Group terms to facilitate factoring by grouping. Group the terms into two pairs: and .
- Factor Out Common Factor: Factor out the greatest common factor from each group.From the first group , factor out , which gives us .From the second group , we can factor out , which gives us .
- Write Factored Groups: Write the expression with the factored groups.Now we have .
- Factor Out Common Binomial: Factor out the common binomial factor.The common binomial factor is . Factor this out from the expression.This gives us .
- Check Quadratic Factor: Check if the quadratic factor can be factored further.The quadratic factor is a difference of squares and can be factored as .
- Write Final Factored Form: Write the final factored form of the polynomial.The final factored form of the polynomial is .
