Polynomials
vocabulary
Long Division
1.2.
SyntheticDivision
1.2.3.
Graphic
Organizer
1.2.3.4.
Divisionof
vocabulary
Roots
Zeros
Rational Root Theorem
Remainder Theorem
Factor Theorem
Synthetic Division
Prime Factors
Due
Test Day
3x y z + 12xyz – 4xy z3xyz
Simple Division
3x y z + 12xyz – 4xy z
3 2 23
3 2 3 2
3xyz 3xyz 3xyz
yesterday
Long Division
2597
3
3 2597Will 3 go into 25? YES
Will 3 go into 2? NO5
8
24-( )
1
9 7
9
6
18-( ) 1
7
5
15-( )
2
23
Polynomial Division
3x+13x -5x +10x - 313
31053 23
x
xxx 23
Look at 1st term
3x( ?? ) = 3x3
x2
3x +1x3 2
-( )
-
-6x + 10x2
-2x
-6x - 2x2
-( )+ +
12x - 312x + 4
+4
-( ) -7
-7 3x+1
-
x2
exampleThink
Think
Think
Multiply: 6x2(x – 2).
Subtract.
Multiply: 2(x – 2).
Subtract.
Multiply: –7x(x – 2).
Subtract.
Polynomial Division
Notice that there is no x term. However, we need to include it when we divide.
52
1592 23
x
xx
159252 23 xxx x0
Polynomial Division
159252 23 xxx
2x
23 52 xx 24x x0
x2
xx 104 2 x10 15
5
x10 25
10
52
10
x
x0-( )
-( )
-( )