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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 two numbers: Find two numbers that multiply to () and add up to ().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 and the last two terms.
- Factor out common factor: Factor out the greatest common factor from each group.
- Final factored form: Since both groups contain the common factor , factor this out. is the factored form of the quadratic expression.
