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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 because:
- Rewrite middle term: Rewrite the middle term using the two numbers found in the previous step and to split it into two terms. can be rewritten as:
- Factor by grouping: Factor by grouping. Group the first two terms together and the last two terms together, then factor out the common factors from each group.From , factor out :From , factor out :Now we have:
- Factor out common binomial: Factor out the common binomial factor from both groups. is the common factor, so we get:
