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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 suitable numbers: Find two numbers that multiply to (which is ) and add up to (which is ).The two numbers that satisfy these conditions are and because and .
- Rewrite middle term: Rewrite the middle term using the two numbers found in Step . can be rewritten as .
- Factor by grouping: Factor by grouping. Group the terms into two pairs and factor out the common factor from each pair.From the first pair , factor out to get .From the second pair , factor out to get .
- Write factored form: Write the factored form by combining the common factors.Since both groups contain the factor , the factored form is .
