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Factor.
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Q. Factor.
- Identify Variables: Identify , , and in the quadratic expression . The quadratic expression is in the form of . For our expression, , , and .
- Find Multiplying Numbers: Find two numbers that multiply to (which is ) and add up to (which is ).We need to find two numbers that multiply to and add up to . The numbers and satisfy these conditions because and .
- Write Quadratic Expression: Write the quadratic expression using the two numbers found in Step .We can express as .
- Factor by Grouping: Factor by grouping.Group the terms to factor by grouping: .
- Factor Common Factors: Factor out the common factors from each group.From the first group , we can factor out a , giving us .From the second group , we can factor out a , giving us .
- Write Factored Form: Write the factored form using the common binomial.Since both groups contain the common binomial , we can factor it out to get the final factored form: .
