Lesson 16: Factoring GCF TLW will factor polynomials finding the GCF.
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Lesson 16: Factoring GCF TLW will factor polynomials finding the GCF
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Transcript of Lesson 16: Factoring GCF TLW will factor polynomials finding the 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:
