1.
Refer to the diagram below. This is an example of a _____.
A.
factor tree
B.
greatest common factor
C.
composite list
D.
prime number
Hint
2.
The product of the prime factors common to two integers is called the _____.
A.
least common denominator
B.
prime factorization
C.
composite term
D.
greatest common factor
Hint
3.
The diagram below shows a model of a factorization of a binomial using algebra tiles. Select the correct factorization shown by the model.
A.
3
x
(
x
+ 3)
B.
3
x
(
x
+ 2)
C.
3(
x
+ 2)
D.
3(
x
+ 3)
Hint
4.
Factor the polynomial 45
y
2
+ 9
y
.
A.
y
(45
y
+ 9)
B.
3
y
(15
y
+ 3)
C.
9
y
(5
y
2
+ 1)
D.
9
y
(5
y
+ 1)
Hint
5.
Refer to the diagram. A city park will use a portion of the park for a garden. The shaded region will be the area of the park without the garden. Express the area of the shaded region in factored form.
A.
(
x
+ 3)(
x
– 5)
B.
2(
x
+ 3)(
x
– 5)
C.
2(
x
2
– 2
x
– 15)
D.
2(
x
– 3)(
x
+ 5)
Hint
6.
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
7.
Factor the trinomial 10
x
2
+ 13
x
– 3.
A.
(2
x
+ 3)(5
x
– 1)
B.
(2
x
– 3)(5
x
+ 1)
C.
prime
D.
(2
x
– 1)(5
x
+ 3)
Hint
8.
Select the trinomial that is
not
a perfect square trinomial.
A.
25
x
2
+ 40
x
+ 16
B.
x
2
+ 9
x
+ 3
C.
x
2
+ 8
x
+ 16
D.
9
x
2
– 6
x
+ 1
Hint
9.
The area of a square is 4
x
2
+ 12
x
+ 9. Find the perimeter.
A.
4
x
+ 6
B.
8
x
+ 12
C.
4
x
– 6
D.
8
x
+ 3
Hint
10.
Factor the trinomial
x
2
– 11
x
– 42.
A.
(
x
– 14)(
x
+3)
B.
(
x
– 14)(
x
– 3)
C.
(
x
+ 14)(
x
+ 3)
D.
(
x
+ 14)(
x
– 3)
Hint