lesson 16: factoring gcf

Lesson 16: Factoring GCF

TLW will factor polynomials finding the GCF

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 ofis

Factor each number.

Circle the common prime factors.

Use the Distributive Property to factor.

Rewrite each term using the GCF.

Distributive PropertyAnswer: The factored form of

is

GFC: or

Use the Distributive Property to factor each polynomial.

a.

b.

Answer:

Answer:

Factor

Group terms with common factors.

Factor the GCFfrom each grouping.

Answer: Distributive Property

Factor

Answer:

Factor

Group terms with common factors.

Factor GCF from each grouping.

Answer: Distributive Property

Factor

Answer:

Solve Then check the solutions.

If , then according to the Zero Product Property either or

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.

Solve Then check the solutions.

Answer: {3, –2}

Solve Then check the solutions.

Write the equation so that it is of the form

Original equation

Solve each equation.

Factor the GCF of 4y andwhich is 4y.

Zero Product Propertyor

Subtract from each side.

Answer: The solution set is Check by substituting

0 and for y in the original equation.

Solve

Answer: