Period
Name
Algebra 3-4
P24: Rewriting expressions
Factor the following expressions. Use the Greatest Common Factor Method (CCF)
t.
8.x-1
-
1.
z. -9x3 -123x
16x
Factor the following expressions. Use the Difference of Squares Method (DOS)
3.
64x2
4.
-49
16x2
3.
-25
14,
Factor the following expressions. Use the a=l Trinomial Method
5.
1^
r-+lx-35
6.
x2
ls
*9x-36
i
ie.
I
Factor the following expressions. Use the a*1 Trinomial Method
l,
3x2
-7x-6
8.
3x2
-x-10
Factor the following expressions.
Use the sum of cubes (SOC) or difference of cubes (DOC) method.
s.
tg.
8x3
-125
x3
+27
ls.
I
i
10.
tt.
27x3 +1
!2.
64x3
11,
-27
72.
B.
64x3
-125
tq.
216x3
13.
+8
l
14"
Ls. x3 -125
ts.
15.
x3 +1
I
l
15.
Factor the following expressions completely. Use the quadratic form method.
!7.
xa
*2x2
L9. xa -3x2
-3
18. xa +15x2 +54
-10
20. xa -73x2 + 40
zL. xa -x'-42
22. xa -3x2
23. xa -8x2 +15
24. xa -3x2 -18
-28
Find the zeros, the leading term (LT), the end behavior (EB), the y-intercept (y-int), and possible number of
turning points TP. Then sketch the graph.
zs.
1.
zeros:
=
(, - 4)' (x + 3)(x -
x= -
EB: -i-;
26.
1)
LT:
y-int: - ''t
TP:
zeros: x=
7t
= -Zx2 (x + 3X.t
-
-
5
t
LTr - z-X
T?; 4 .,'
"