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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
−
3
(
−
p
2
−
3
)
-3(-p^2 - 3)
−
3
(
−
p
2
−
3
)
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Math Problems
Algebra 1
Multiply a polynomial by a monomial
Full solution
Q.
Find the product. Simplify your answer.
\newline
−
3
(
−
p
2
−
3
)
-3(-p^2 - 3)
−
3
(
−
p
2
−
3
)
Distribute
−
3
-3
−
3
:
Distribute
−
3
-3
−
3
to both terms inside the parentheses.
\newline
−
3
(
−
p
2
−
3
)
=
−
3
(
−
p
2
)
−
3
(
−
3
)
-3(-p^2 - 3) = -3(-p^2) - 3(-3)
−
3
(
−
p
2
−
3
)
=
−
3
(
−
p
2
)
−
3
(
−
3
)
Simplify
−
3
(
−
p
2
)
-3(-p^2)
−
3
(
−
p
2
)
:
Simplify
−
3
(
−
p
2
)
-3(-p^2)
−
3
(
−
p
2
)
.
\newline
−
3
(
−
p
2
)
=
3
p
2
-3(-p^2) = 3p^2
−
3
(
−
p
2
)
=
3
p
2
Simplify
−
3
(
−
3
)
-3(-3)
−
3
(
−
3
)
:
Simplify
−
3
(
−
3
)
-3(-3)
−
3
(
−
3
)
.
\newline
−
3
(
−
3
)
=
9
-3(-3) = 9
−
3
(
−
3
)
=
9
Combine the results:
Combine the results from Step
2
2
2
and Step
3
3
3
.
\newline
The simplified form of
−
3
(
−
p
2
−
3
)
-3(-p^2 - 3)
−
3
(
−
p
2
−
3
)
is
3
p
2
+
9
3p^2 + 9
3
p
2
+
9
.
More problems from Multiply a polynomial by a monomial
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Find the degree of this polynomial.
\newline
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\newline
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\newline
(
9
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−
(
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Question
Find the product. Simplify your answer.
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−
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\newline
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Question
Find the product. Simplify your answer.
\newline
(
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\newline
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Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
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Posted 5 months ago
Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
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t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
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\newline
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Posted 5 months ago
Question
Is the function
q
(
x
)
=
x
6
−
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q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
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Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
-3q^2(-3q^2 + q)
−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
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Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
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Posted 9 months ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
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Posted 9 months ago
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