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Factor.
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Q. Factor.
- Identify Coefficients: Identify the coefficients of the quadratic expression.The quadratic expression is in the form . For , , , and .
- Find Multiplying Numbers: 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 the previous step.We can express as the sum of and . So, the expression becomes .
- Factor by Grouping: Factor by grouping.First, group the terms: + . Then, factor out the common factors from each group.From the first group, we can factor out , giving us .From the second group, we can factor out , giving us .
- Write Factored Form: Write the factored form of the expression.Since both groups contain the factor , we can factor this out to get the final factored form of the expression: .
