6.1 Factoring: Greatest Common Factor and Difference of Squares

  • Factoring • Factoring Out the GCF • Factoring Difference of Two Squares • Prime Factors • Factoring Completely • Factoring by Grouping

When an algebraic expression is written as the product of two or more quantities, each of these quantities is called a factor of the expression. In practice, we often have an expression and we need to find its factors. Finding these factors, which is essentially reversing the process of multiplication, is called factoring. Factoring is needed in many technical applications that require us to solve higher-degree equations, perform operations on algebraic fractions, or solve certain literal equations.

Since factoring is the reversal of multiplying, ...

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