1.
Arrange the terms of the polynomial -2
x
+ 3
x
3
- 5 + 6
x
2
so that the powers of
x
are in descending order.
A.
3
x
3
+ 6
x
2
- 2
x
- 5
B.
5 - 2
x
+ 6
x
2
+ 3
x
3
C.
-2
x
+ 3
x
3
+ 6
x
2
- 5
D.
-5 - 2
x
+ 6
x
2
+ 3
x
3
Hint
2.
Rewriting the expression (2
x
+ 5
x
) + (4 – 1) as (2 + 5)
x
+ (4 – 1) shows the use of the _______.
A.
Addition Property of Equality
B.
Distributive Property
C.
Commutative Property of Multiplication
D.
Associative Property of Addition
Hint
3.
Find the difference (4 - 7
a
2
) - (-
a
+ 2
a
2
- 1).
A.
-9
a
2
+
a
+ 3
B.
-5
a
2
-
a
+ 3
C.
-5
a
2
+
a
+ 5
D.
-9
a
2
+
a
+ 5
Hint
4.
Find the product -
c
(
c
3
- 3
c
2
+
c
).
A.
-
c
4
+ 3
c
3
B.
-
c
3
+ 3
c
2
-
c
C.
-
c
4
- 3
c
3
+
c
2
D.
-
c
4
+ 3
c
3
-
c
2
Hint
5.
Find the product (
a
2
+ 3)(
a
- 9)
A.
a
2
- 12
a
- 27
B.
a
3
- 9
a
2
+ 3
a
- 27
C.
a
2
- 6
a
- 27
D.
a
3
- 9
a
2
+ 3
a
+ 27
Hint
6.
Find the product (6 + 3
b
)(6 – 3
b
).
A.
36 - 9
b
2
B.
36 + 36
b
+ 9
b
2
C.
36 + 36
b
- 9
b
2
D.
36 + 9
b
2
Hint
7.
State whether the expression 5
jk
+ 4
j
is a
monomial, binomial, trinomial
or
not a polynomial
.
A.
monomial
B.
binomial
C.
trinomial
D.
not a polynomial
Hint
8.
Find the product
j
(
j
+ 2).
A.
j
2
+ 2
B.
j
2
+ 2
j
C.
2
j
+ 2
D.
3
j
Hint
9.
Find the product of 3 – 4
x
and 3 + 4
x
.
A.
6 + 8
x
B.
9 – 16
x
2
C.
9 + 16
x
2
D.
6
Hint
10.
Which equation represents the square of a sum?
A.
(
a
+
b
)(
a
–
b
) =
a
2
–
b
2
B.
(
a
+
b
)
2
=
a
2
+ 2
a
b
+
b
2
C.
(
a
+
b
)(
a
–
b
) =
a
2
+
b
2
D.
(
a
–
b
)
2
=
a
2
– 2
a
b
+
b
2
Hint