1.
Find the GCF of 36
a
2
b
and 81
ab
2
.
A.
3
a
2
b
B.
9
ab
C.
3
ab
D.
12
ab
Hint
2.
Sometimes, you know the product and are asked to find the factors. This process is called _____.
A.
prime analysis
B.
simplification
C.
distribution
D.
factoring
Hint
3.
Factor the polynomial 45
y
2
+ 9
y
.
A.
9
y
(5
y
+ 1)
B.
9
y
(5
y
2
+ 1)
C.
3
y
(15
y
+ 3)
D.
y
(45
y
+ 9)
Hint
4.
Factor the trinomial 5
x
2
– 7
x
+ 2.
A.
prime
B.
(5
x
– 2)(
x
+ 1)
C.
(5
x
– 2)(
x
– 1)
D.
(5
x
– 1)(
x
+ 2)
Hint
5.
The area of a square is 4
x
2
+ 12
x
+ 9. Find the perimeter.
A.
8
x
+ 3
B.
4
x
+ 6
C.
4
x
– 6
D.
8
x
+ 12
Hint
6.
Which factor tree best represents 468?
A.
B.
C.
D.
Hint
7.
Factor the trinomial
x
2
+ 7
x
– 8.
A.
(
x
+ 4)(
x
– 2)
B.
(
x
– 4)(
x
+ 2)
C.
(
x
– 8)(
x
+ 1)
D.
(
x
+ 8)(
x
– 1)
Hint
8.
Find the area of the surface of the table. Express the answer in factored form.
A.
(
x
+ 10)(
x
+ 4) ft
2
B.
(
x
+ 10)(
x
– 4) ft
2
C.
(
x
– 10)(
x
– 4) ft
2
D.
(
x
– 10)(
x
+ 4) ft
2
Hint
9.
Factor 6
x
2
+ 13
x
+ 5.
A.
(6
x
+ 5)(
x
+ 1)
B.
(3
x
+ 5)(2
x
+ 1)
C.
(3
x
+ 1)(2
x
+ 5)
D.
(6
x
+ 1)(
x
+ 5)
Hint
10.
Which of these represents factoring differences of squares?
A.
a
2
+
b
2
= (
a
–
b
)(
a
+
b
)
B.
a
2
–
b
2
= (
a
–
b
)(
a
+
b
)
C.
a
2
+ 2
a
b
+
b
2
= (
a
+
b
)(
a
+
b
)
D.
a
2
– 2
a
b
+
b
2
= (
a
–
b
)(
a
–
b
)
Hint