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Factor.
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Q. Factor.
- Identify Coefficients: Identify the coefficients of the quadratic expression.The quadratic expression is in the form , where , , and are constants. For the expression , we have:
- Find Multiplying Numbers: Find two numbers that multiply to ( times ) and add up to . We need to find two numbers that multiply to and add up to . The numbers that satisfy these conditions are and because:
- Rewrite Middle Term: Rewrite the middle term using the two numbers found in the previous step.We can express the middle term as the sum of and . This gives us:
- Factor by Grouping: Factor by grouping.We group the terms as follows:Now we factor out the common factors from each group:
- Factor out Binomial: Factor out the common binomial.We notice that is common in both terms, so we factor it out:
