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Factor.
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Q. Factor.
- Identify , , : Identify , , and in the quadratic expression . Compare with .
- Find numbers multiply and add: Find two numbers that multiply to () and add up to ().We need to find two numbers that multiply to and add up to .After checking possible pairs that multiply to ( and , and , and ), we find that and are the numbers we are looking for because .
- Rewrite middle term: Rewrite the middle term using the two numbers found in Step .We can express as the sum of and . becomes .
- Factor by grouping: Factor by grouping.First, group the terms: + .Now, factor out the common factors from each group.From the first group, we can factor out : .From the second group, we can factor out : .
- Write factored form: Write the factored form of the expression.Since both groups contain the common factor , we can factor this out.The factored form is .
