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Math Problems
Algebra 1
Multiply a polynomial by a monomial
Find the product. Simplify your answer.
\newline
−
2
j
(
−
4
j
2
+
5
)
-2j(-4j^2 + 5)
−
2
j
(
−
4
j
2
+
5
)
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Find the product. Simplify your answer.
\newline
4
v
(
v
2
−
7
)
4v(v^2 - 7)
4
v
(
v
2
−
7
)
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Find the product. Simplify your answer.
\newline
−
2
p
(
−
p
2
−
3
p
)
-2p(-p^2 - 3p)
−
2
p
(
−
p
2
−
3
p
)
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Find the product. Simplify your answer.
\newline
3
x
(
−
4
x
2
+
6
)
3x(-4x^2 + 6)
3
x
(
−
4
x
2
+
6
)
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Find the product. Simplify your answer.
\newline
z
(
−
2
z
2
−
4
)
z(-2z^2 - 4)
z
(
−
2
z
2
−
4
)
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Find the product. Simplify your answer.
\newline
−
3
g
2
(
−
g
2
+
6
)
-3g^2(-g^2 + 6)
−
3
g
2
(
−
g
2
+
6
)
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Find the product. Simplify your answer.
\newline
−
3
(
−
p
2
−
3
)
-3(-p^2 - 3)
−
3
(
−
p
2
−
3
)
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Find the product. Simplify your answer.
\newline
−
9
(
3
g
2
+
6
)
-9(3g^2 + 6)
−
9
(
3
g
2
+
6
)
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Find the product. Simplify your answer.
\newline
5
(
3
w
2
+
2
)
5(3w^2 + 2)
5
(
3
w
2
+
2
)
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Find the product. Simplify your answer.
\newline
7
(
−
3
j
2
−
7
)
7(-3j^2 - 7)
7
(
−
3
j
2
−
7
)
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Find the product. Simplify your answer.
\newline
−
8
(
3
t
2
−
6
)
-8(3t^2 - 6)
−
8
(
3
t
2
−
6
)
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Find the product. Simplify your answer.
\newline
−
3
d
(
−
d
2
+
7
)
-3d(-d^2 + 7)
−
3
d
(
−
d
2
+
7
)
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Find the product. Simplify your answer.
\newline
−
5
(
−
2
r
2
+
5
)
-5(-2r^2 + 5)
−
5
(
−
2
r
2
+
5
)
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Find the product. Simplify your answer.
\newline
2
x
2
(
−
x
2
−
x
)
2x^2(-x^2 - x)
2
x
2
(
−
x
2
−
x
)
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Find the product. Simplify your answer.
\newline
−
2
(
−
3
h
2
−
5
)
-2(-3h^2 - 5)
−
2
(
−
3
h
2
−
5
)
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Find the product. Simplify your answer.
\newline
3
s
(
−
2
s
2
+
3
)
3s(-2s^2 + 3)
3
s
(
−
2
s
2
+
3
)
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Find the product. Simplify your answer.
\newline
−
3
k
2
(
−
3
k
2
+
8
)
-3k^2(-3k^2 + 8)
−
3
k
2
(
−
3
k
2
+
8
)
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Find the product. Simplify your answer.
\newline
3
c
(
2
c
2
−
4
c
)
3c(2c^2 - 4c)
3
c
(
2
c
2
−
4
c
)
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Find the product. Simplify your answer.
\newline
−
h
(
−
4
h
2
−
9
)
-h(-4h^2 - 9)
−
h
(
−
4
h
2
−
9
)
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Find the product. Simplify your answer.
\newline
3
z
(
z
2
+
8
)
3z(z^2 + 8)
3
z
(
z
2
+
8
)
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Find the product. Simplify your answer.
\newline
7
(
2
u
2
+
7
)
7(2u^2 + 7)
7
(
2
u
2
+
7
)
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Find the product. Simplify your answer.
\newline
−
8
(
−
4
a
2
+
1
)
-8(-4a^2 + 1)
−
8
(
−
4
a
2
+
1
)
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Find the product. Simplify your answer.
\newline
−
2
s
2
(
−
s
2
−
4
)
-2s^{2}(-s^{2} - 4)
−
2
s
2
(
−
s
2
−
4
)
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Find the product. Simplify your answer.
\newline
4
c
2
(
3
c
2
−
4
)
4c^2(3c^2 - 4)
4
c
2
(
3
c
2
−
4
)
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Find the product. Simplify your answer.
\newline
−
2
z
(
4
z
2
+
3
)
-2z(4z^2 + 3)
−
2
z
(
4
z
2
+
3
)
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Find the product. Simplify your answer.
\newline
−
5
(
−
2
b
2
−
6
)
-5(-2b^2 - 6)
−
5
(
−
2
b
2
−
6
)
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Which polynomials are in standard form?
\newline
Choose all answers that apply:
\newline
A
5
−
2
x
5-2 x
5
−
2
x
\newline
B
x
4
−
8
x
2
−
16
x^{4}-8 x^{2}-16
x
4
−
8
x
2
−
16
\newline
C
5
x
3
+
4
x
4
−
3
x
+
1
5 x^{3}+4 x^{4}-3 x+1
5
x
3
+
4
x
4
−
3
x
+
1
\newline
D None of the above
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Pick the expression that matches this description:
\newline
A polynomial of the
5
th
5^{\text {th }}
5
th
degree with a leading coefficient of
7
7
7
and a constant term of
6
6
6
\newline
Choose
1
1
1
answer:
\newline
(A)
7
x
5
+
2
x
2
+
6
7 x^{5}+2 x^{2}+6
7
x
5
+
2
x
2
+
6
\newline
(B)
6
x
5
+
x
4
+
7
6 x^{5}+x^{4}+7
6
x
5
+
x
4
+
7
\newline
(C)
6
x
7
−
x
5
+
5
6 x^{7}-x^{5}+5
6
x
7
−
x
5
+
5
\newline
(D)
7
x
6
−
6
x
4
+
5
7 x^{6}-6 x^{4}+5
7
x
6
−
6
x
4
+
5
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Which polynomials are in standard form?
\newline
Choose all answers that apply:
\newline
A
10
−
n
10-n
10
−
n
\newline
B
5
n
+
3
n
3
−
1
5 n+3 n^{3}-1
5
n
+
3
n
3
−
1
\newline
c
n
+
4
n
2
−
7
n
3
n+4 n^{2}-7 n^{3}
n
+
4
n
2
−
7
n
3
\newline
D None of the above
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Which polynomials are in standard form?
\newline
Choose all answers that apply:
\newline
A
3
z
−
1
3 z-1
3
z
−
1
\newline
B
2
+
4
x
−
5
x
2
2+4 x-5 x^{2}
2
+
4
x
−
5
x
2
\newline
C
−
5
p
5
+
2
p
2
−
3
p
+
1
-5 p^{5}+2 p^{2}-3 p+1
−
5
p
5
+
2
p
2
−
3
p
+
1
\newline
D None of the above
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Which polynomials are in standard form?
\newline
Choose all answers that apply:
\newline
A
t
4
−
1
t^{4}-1
t
4
−
1
\newline
B
−
2
t
2
+
3
t
+
4
-2 t^{2}+3 t+4
−
2
t
2
+
3
t
+
4
\newline
c.
4
t
−
7
4 t-7
4
t
−
7
\newline
D None of the above
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Pick the expression that matches this description:
\newline
A
3
rd
3^{\text {rd }}
3
rd
degree binomial with a constant term of
8
8
8
\newline
Choose
1
1
1
answer:
\newline
(A)
8
x
3
+
2
x
+
3
8 x^{3}+2 x+3
8
x
3
+
2
x
+
3
\newline
(B)
2
x
8
+
3
2 x^{8}+3
2
x
8
+
3
\newline
(C)
−
5
x
3
+
8
-5 x^{3}+8
−
5
x
3
+
8
\newline
(D)
x
3
−
x
2
+
8
x^{3}-x^{2}+8
x
3
−
x
2
+
8
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Pick the expression that matches this description:
\newline
A monomial of the
2
nd
2^{\text {nd }}
2
nd
degree with a leading coefficient of
3
3
3
\newline
Choose
1
1
1
answer:
\newline
(A)
3
n
2
3 n^{2}
3
n
2
\newline
(B)
2
n
3
2 n^{3}
2
n
3
\newline
(C)
3
n
2
−
1
3 n^{2}-1
3
n
2
−
1
\newline
(D)
3
n
−
n
2
3 n-n^{2}
3
n
−
n
2
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6
x
2
+
7
x
3
+
8
x
5
+
9
6x^{2}+7x^{3}+8x^{5}+9
6
x
2
+
7
x
3
+
8
x
5
+
9
\newline
What is the degree of the polynomial?
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4
m
2
−
3
m
6
+
5
m
4
4m^{2}-3m^{6}+5m^{4}
4
m
2
−
3
m
6
+
5
m
4
\newline
What is the degree of the polynomial?
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What is the degree of the polynomial?
t
−
4
t
2
+
2
t
3
t-4t^{2}+2t^{3}
t
−
4
t
2
+
2
t
3
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5
z
3
−
2
z
4
−
9
z
2
+
z
5z^{3}-2z^{4}-9z^{2}+z
5
z
3
−
2
z
4
−
9
z
2
+
z
\newline
What is the degree of the polynomial?
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Pick the expression that matches this description:
\newline
A trinomial with a leading coefficient of
3
3
3
and a constant term of
−
5
-5
−
5
\newline
Choose
1
1
1
answer:
\newline
(A)
−
5
m
2
+
4
m
+
3
-5m^{2}+4m+3
−
5
m
2
+
4
m
+
3
\newline
(B)
3
m
2
−
5
3m^{2}-5
3
m
2
−
5
\newline
(C)
3
m
2
+
m
−
5
3m^{2}+m-5
3
m
2
+
m
−
5
\newline
(D)
3
m
2
−
5
m
+
1
3m^{2}-5m+1
3
m
2
−
5
m
+
1
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Find the product. Simplify your answer.
\newline
−
3
v
2
(
v
2
−
9
)
-3v^2(v^2 - 9)
−
3
v
2
(
v
2
−
9
)
\newline
________
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