1.
The product of the prime factors common to two integers is called the _____.
A.
composite term
B.
prime factorization
C.
least common denominator
D.
greatest common factor
Hint
2.
Find the GCF of 36
a
2
b
and 81
ab
2
.
A.
12
ab
B.
3
ab
C.
3
a
2
b
D.
9
ab
Hint
3.
Factor the polynomial 45
y
2
+ 9
y
.
A.
y
(45
y
+ 9)
B.
9
y
(5
y
2
+ 1)
C.
3
y
(15
y
+ 3)
D.
9
y
(5
y
+ 1)
Hint
4.
Write an expression in factored form that represents the area of the shaded region.
A.
5
xy
– 2
x
B.
7
xy
– 2
x
C.
x
(7
y
– 2)
D.
x
(5
y
– 2)
Hint
5.
Factor the trinomial 3
x
2
– 4
x
– 15.
A.
(3
x
+ 3)(
x
– 5)
B.
(3
x
– 5)(
x
+ 3)
C.
prime
D.
(3
x
+ 5)(
x
– 3)
Hint
6.
Factor the trinomial
x
2
– 5
x
+ 6.
A.
(
x
– 6)(
x
– 1)
B.
(
x
+ 3)(
x
– 2)
C.
(
x
– 3)(
x
– 2)
D.
(
x
+ 6)(
x
– 1)
Hint
7.
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
8.
Factor 6
x
2
+ 13
x
+ 5.
A.
(6
x
+ 5)(
x
+ 1)
B.
(6
x
+ 1)(
x
+ 5)
C.
(3
x
+ 1)(2
x
+ 5)
D.
(3
x
+ 5)(2
x
+ 1)
Hint
9.
Factor the trinomial 4
x
2
+ 12
x
+ 9.
A.
(2
x
+ 3)(2
x
– 3)
B.
(2
x
+ 3)
2
C.
(2
x
– 3)
2
D.
(2
x
+ 3)(3
x
+ 2)
Hint
10.
The area of a square is
x
2
– 16
x
+ 64 square units. Find the perimeter.
A.
(
x
– 8) units
B.
(
x
+ 8) units
C.
(4
x
– 32) units
D.
(4
x
+ 32) units
Hint