# Download Day 95 - Factoring where a doesn`t equal 1 - Box

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```Day 95 Notes Factoring a ¢.1 with Algebra Tiles & Box Method
Name:
- - - - - - - - - - - Period:
Date: _ _ _ _ _ __
utcome: I can factor polynomials when a*l
Homework: pg 460 #8-13
Use Algebra Tiles to factor the following expression: 2x 2
:2x ~
... ~
.
1
-
~
+
-, --
-
-
-1
(J )( - 11 (x - ;t)
I
-Ix
+
1-
l.;U
2x 2
-
Sx + 2
= ( Q.. K- i) ( X-)... )
Use Algebra Tiles to factor the following expression: 3x 2
X
X +
.....
r->
4-
~
-
\
_,
Sx + 2
- I
-
\
-
- .._ .
•
3x 2 -Sx+2=
AACPS Curriculum 2016
-
... - -
+
~
-l
,x
X
~
Sx + 2
-
+-
'X
-
-3x
(3x-J)(x-JJ
(). 1 1 +bx + c.
Factoring a ~1 BOX METHOD
Factor 2x 2
+ 9x + 4
Because there is a number in front of the x 2 term, you should first look for a
there is no GCF, we must factor this a different way.
•
Aft J:.
. Since
METHOD 1: The Box Method
Jx
•
Next, multiply the
{).,
term and the
(!.
term. You must find numbers that
multiply to this number (a· c) that add to the
le, number (b). Put these two
numbers in the to.e. right and bottom left squares. Don't forget the
)(
!
Now take the
out of each column and row and write it outside the box.
•
Rewrite these terms as
•
M(dd
(::;\C f
bt
·(l. (r .
~
m A
~
+\x -
2. 2x 2
)(
-fl,
6
J(\ - 3
5
... 2~
\t>
3. ~
X
-I
i
AACPS urriculum 2016
JV\
A
10
--1
4. b~>< . . 7
-M
7
-U
}'}( ~xi.
-1'1~
-•'-/,1..
I J.1'
-1
A
- 17..
/'
```