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Factor.
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Q. Factor.
- Identify coefficients: Identify the coefficients , , and in the quadratic expression by comparing it to the standard form ., ,
- Find suitable numbers: Find two numbers that multiply to () and add up to (). The numbers that satisfy these conditions are and because and .
- Rewrite middle term: Rewrite the middle term using the two numbers found in the previous step: .
- Group terms into pairs: Group the terms into two pairs: and .
- Factor out common factors: Factor out the greatest common factor from each pair. From the first pair, factor out : . From the second pair, factor out : .
- Correct previous step: Notice that there is a mistake in the previous step. The common factor in the second pair should be , but the expression inside the parentheses should be the same as the first pair for the expression to be factorable. We need to correct this.
