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Calc Simplifying Complex Expressions by Factoring
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Simplifying Complex Expressions and Solving Equations by Factoring
Summary: Solve complex equations by factoring. To review factoring, see Precalculus
Review and Algebra 2 Review topics.
Example:
Simplify
solution: There is a common factor of xe2x. Factor to get
Example: Solve the equation
.
solution: First simplify by factoring out the common factor: . Now
use the zero-product property, “a product can be zero only if one of its factors is zero.” Therefore, either
, which is impossible, or
, which makes x = -2 or x = 2.
Problems
Simplify each expression by factoring.
1. 2. 3. 4. Solve each equation by factoring.
5. 6. 7. 9. and
8. 10. file://D:\Documents and Settings\alipp\My Documents\Summer math website\Calculus\TMP5wko... 8/16/2008