Transcript Transparency 2 - BakerMath.org

9.2
Factoring Using the Distributive
Property
Greatest Common Factor
(GCF)/Distributive Property
 Look for the largest common number
and/or variables in each term
 Divide each term by the common terms
2
Use the Distributive Property to factor
First, find the CGF of 15x and
.
Factor each number.
.
Circle the common prime factors.
GFC:
Write each term as the product of the GCF and its
remaining factors. Then use the Distributive Property
to factor out the GCF.
Rewrite each term using
the GCF.
Simplify remaining factors.
Distributive Property
Answer: The completely factored form of
is
Use the Distributive Property to factor
.
Factor each number.
Circle the common prime factors.
GFC:
or
Rewrite each term using the GCF.
Distributive Property
Answer: The factored form of
is
Use the Distributive Property to factor each polynomial.
a.
Answer:
b.
Answer:
Grouping
Steps
 Arrange terms in descending order
 Separate into groups of 2 in ()
 Factor the GCF from each group
 Factor an additional (-1) if necessary
 The terms in () must match
 Combine the two GCF into a binomial in
() and place it next to the other binomial
Grouping Example
8
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:
Solve
Then check the solutions.
If
Property either
, then according to the Zero Product
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
Answer: {3, –2}
Then check the solutions.
Solve
Then check the solutions.
Write the equation so that it is of the form
Original equation
Subtract
from each side.
Factor the GCF of 4y and
which is 4y.
or
Zero Product Property
Solve each equation.
Answer: The solution set is
0 and
Check by substituting
for y in the original equation.
Solve
Answer:
Practice Problems
Page 484
Problems 4-15, 16-39, 48-59 (odd)
Practice Problems (Day 2)
Page 484
Problems 4-15, 16-39, 48-59 (even)