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Factor.
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Q. Factor.
- Identify coefficients: Identify the coefficients , , and in the quadratic expression by comparing it to the standard form ., ,
- Find factorable numbers: Find two numbers that multiply to () and add up to . In this case, , and we need two numbers that multiply to and add up to .
- Rewrite middle term: The two numbers that satisfy the conditions are and because and .
- Group terms for factoring: Rewrite the middle term using the two numbers found in the previous step. This will allow us to split the middle term for factoring by grouping. becomes .
- Factor out common factors: Group the terms into two pairs and factor out the common factor from each pair.From , factor out to get .From , factor out to get .
- Final factored form: Notice that both groups now have a common binomial factor . Factor out the common binomial factor.The factored form is .
