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Example 1Use the Distributive Property Example 2Use Grouping Example 3Use the Additive Inverse Property Example 4Solve an Equation in Factored Form Example 5Solve an Equation by Factoring

Write each term as the product of the GCF and its remaining factors. Then use the Distributive Property to factor out the GCF. Use the Distributive Property to factor. First, find the CGF of 15x and. Factor each number. Circle the common prime factors. GFC: Rewrite each term using the GCF. Simplify remaining factors. Distributive Property

Answer: The completely factored form of is

Factor each number. Circle the common prime factors. Use the Distributive Property to factor. Rewrite each term using the GCF. Distributive Property Answer: The factored form of is GFC: or

Use the Distributive Property to factor each polynomial. a. b. Answer:

Factor Group terms with common factors. Factor the GCF from each grouping. Answer: Distributive Property

Factor Answer:

Factor Group terms with common factors. Factor GCF from each grouping. Answer: Distributive Property

Factor Answer:

SolveThen check the solutions. If, then according to the Zero Product Property eitheror Original equation or Set each factor equal to zero. Solve each equation. Answer: The solution set is

Check Substitute 2 and for x in the original equation.

SolveThen check the solutions. Answer: {3, –2}

SolveThen check the solutions. Write the equation so that it is of the form Original equation Solve each equation. Factor the GCF of 4y and which is 4y. Zero Product Property or Subtract from each side.

Answer: The solution set isCheck by substituting 0 andfor y in the original equation.

Solve Answer: