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Factor.
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Q. Factor.
- Identify , , : Identify , , and in the quadratic expression . Compare with the standard quadratic form . Here, , , and .
- Find Multiplying Numbers: Find two numbers that multiply to (which is ) and add up to (which is ).We need to find two numbers and such that:The numbers that satisfy these conditions are and because:
- Rewrite Quadratic Expression: Write the quadratic expression using the two numbers found in Step to split the middle term. can be rewritten as:
- Factor by Grouping: Factor by grouping.Group the terms to factor out the common factors:Factor out a from the first group and from the second group:
- Factor out Common Binomial: Factor out the common binomial factor.Both groups contain the common factor , so factor this out:
