NAME WDME __PERIOD
Practice
Factors and Greatest Common Factors
Find the factors of each number. Then classify each number as prime or
composite.
1.18 2.37 3.48
n,a.3,c.q.le 1.3-1 |.&.3.+.Lo.8,1&,.lu,a-hi'8
Composu-l'e, Prsm 6 comp 05l+5
Find the p
Name: _ Date: _ Period: _
9.5 Factoring Differences of Squares
Differences of Squares
a 2 b 2 = ( a + b )( a b )
* Check for a GCF before factoring using the differences of squares
Examples: Factor each polynomial, if possible. If the polynomial cannot be
Name: _ Date: _ Period: _
9.4 Factoring Trinomials: ax 2 + bx + c
Recall: Simplify each expression.
1. ( 2 x + 5 ) ( 3x + 1)
2. ( 7 x + 1) ( x + 3)
When factoring a polynomial of the form ax 2 + bx + c .
* Factor out the GCF, if possible
2
* Multiply a an
Name: _ Date: _ Period: _
9.4 Factoring Trinomials Practice
Factor each trinomial completely. Remember to check for a GCF first. If the trinomial cannot be
factored using integers, write prime.
1. 2 x 2 3x 2
2. 3 8 m + 3m 2
3. 16 r 2 8 r + 1
4. 6 x 2 + 5
Name: _ Date: _ Period: _
9.4 Solving Equations by Factoring Trinomials: ax 2 + bx + c
Recall: To solve a quadratic (2nd degree) equation.
* Move all terms to one side
* Factor
* Use the Zero Product Property to create two equations
* Solve. You should ha
Name: _ Date: _ Period: _
9.6 Perfect Squares and Factoring
Perfect Square Trinomials
a 2 + 2 ab + b 2 = ( a + b ) OR a 2 2 ab + b 2 = ( a b )
2
2
Examples Determine whether each trinomial is a perfect square. If so, factor it.
1. x 2 + 9 x + 81
2. a 2 24
Name: _ Date: _ Period: _
9.2 Factoring Using the Distributive Property
Distributing Review: Simplify.
1. 6 y 3y 5 y 2 + y 3
(
)
Factor using the Distributive Property: Factor out the GCF; put what is left inside parenthesis.
Examples: Factor each polynom
Name: _ Date: _ Period: _
9.3 Factoring Trinomials: x 2 + bx + c
Recall: Simplify each of the following expressions.
1. ( x + 2 ) ( x + 3)
2. ( x 7 ) ( x + 3)
Factoring trinomials is the opposite of FOILing. We use the patterns from foiling to determine t