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Factor.
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Q. Factor.
- Identify , , : Identify , , and in the quadratic expression . Compare with the standard form .
- Find Factors and Sum: Find two numbers that multiply to (which is ) and add up to (which is ).We need to find two numbers that satisfy these conditions.After checking possible pairs of factors of , we find that and are the numbers we are looking for because and .
- Rewrite Middle Term: Rewrite the middle term using the two numbers and found in Step . can be written as .
- Factor by Grouping: Factor by grouping. Group the terms into two pairs: and . Factor out the greatest common factor from each pair. From , we can factor out to get . From , we can factor out to get .
- Write Factored Form: Write the factored form of the expression.We have and . Both groups have a common factor of .Factor out to get the final factored form: .
