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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 .The numbers and satisfy these conditions because and .
- Rewrite middle term: Rewrite the middle term using the two numbers found in Step .We can express as the sum of and .So, becomes .
- Factor by grouping: Factor by grouping.First, group the terms: + .Factor out the common factor 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 factor , we can factor this out.The factored form is .
