1.
Find the polynomial that represents the measure of the perimeter of the triangle.
A.
15
xy
2
B.
7
xy
2
+ 10
x
– 2
y
C.
5
xy
2
+ 10
x
D.
7
x
3
y
6
+ 10
x
2
– 2
y
Hint
2.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
B.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
C.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
D.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
Hint
3.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 43
y
- 35
B.
12
y
2
– 43
y
+ 35
C.
12
y
2
+ 35
D.
12
y
2
– 13
y
+ 35
Hint
4.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
5
x
2
+
x
+ 10
B.
15
x
3
+ 8
x
2
+ 2
x
+ 24
C.
15
x
3
+ 32
x
2
+ 34
x
+ 24
D.
8
x
2
- 13
x
+ 24
Hint
5.
Factor 14
x
2
- 28
y
2
+ 56
A.
14(
x
2
- 2
y
2
+ 4)
B.
(2
x
+ 7
y
+ 2)(7
x
- 4
y
+ 2)
C.
14(
x
2
- 14
y
2
+ 42)
D.
14
xy
(
x
- 2
y
+ 4)
Hint
6.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
B.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
C.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
D.
(2
c
+ 3
d
)(4
a
+ 5
b
)
Hint
7.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
x
(
y
– 2) + 3(
y
– 2)
B.
(
xy
– 2
x
)( 3
y
– 6)
C.
(
x
+ 3)(
y
– 2)
D.
(
x
– 2)(
y
+ 3)
Hint
8.
Factor 7
xy
2
- 28
x
3
A.
prime
B.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
C.
7
x
2
y
2
(1 +
x
)
D.
(7
xy
+
x
)(
y
– 28
x
2
)
Hint
9.
Factor
x
2
– 8
x
+ 16.
A.
(
x
- 4)
2
B.
(
x
- 8)
2
C.
(
x
+ 4)
2
D.
(
x
+ 4)(
x
– 4)
Hint
10.
Determine whether the expression 5
x
3
y
3
–
x
2
y
2
is a polynomial.
A.
No, because there are two terms.
B.
Yes.
C.
Cannot be determined from given information.
D.
No, because there are two variables.
Hint
11.
What is the GCF of
A.
np
B.
p
2
C.
3
n
D.
n
Hint
12.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 7
x
+ 8
C.
–4
x
4
– 7
x
3
+ 8
x
2
D.
–4
x
2
– 12
x
+ 8
Hint
13.
Factor
x
2
– 7
x
+ 12.
A.
(
x
+ 3)(
x
+ 4)
B.
(
x
– 3)(
x
– 4)
C.
(
x
+ 6)(
x
+ 2)
D.
(
x
– 6)(
x
– 2)
Hint
14.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
4
x
B.
2
x
– 10
C.
4
x
– 20
D.
2
x
Hint
15.
Factor 4
x
2
– 14
x
– 8.
A.
2(2
x
+ 1)(
x
– 2)
B.
(2
x
+ 1)(
x
– 2)
C.
(2
x
+ 1)(
x
– 4)
D.
2(2
x
+ 1)(
x
– 4)
Hint
16.
Determine whether the trinomial 9
x
2
– 60
x
+ 25 is a perfect square trinomial. If so, factor it.
A.
(3
x
– 5)(3
x
+ 5)
B.
It is prime.
C.
(3
x
– 5)(3
x
– 5)
D.
(3
x
+ 5)(3
x
+ 5)
Hint
17.
What is the coefficient of the last term in the polynomial expansion for (
a
+
b
)
5
?
A.
10
B.
6
C.
1
D.
5
Hint
18.
Factor 6
x
2
- 5
x
- 21.
A.
(6
x
+ 3)(
x
+ 7)
B.
(2
x
- 3)(3
x
- 7)
C.
(2
x
+ 3)(3
x
- 7)
D.
(
x
- 3)(6
x
+ 7)
Hint