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Factor.
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Q. Factor.
- Identify , , : Identify , , and in the quadratic expression by comparing it with the standard form .
- Find two numbers: Find two numbers that multiply to (which is ) and add up to (which is ).The two numbers that satisfy these conditions are and , since and .
- Rewrite middle term: Rewrite the middle term, , using the two numbers found in the previous step. can be rewritten as .
- Factor by grouping: Factor by grouping. Group the first two terms together and the last two terms together.
- Factor out common factor: Factor out the greatest common factor from each group.From the first group, factor out : From the second group, factor out :
- Final factored form: Since both groups contain the common factor , factor this out.The factored form is .
