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Let’s check out your problem:
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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Math Problems
Algebra 1
Multiply a polynomial by a monomial
Full solution
Q.
Find the product. Simplify your answer.
\newline
3
s
(
−
2
s
2
+
3
)
3s(-2s^2 + 3)
3
s
(
−
2
s
2
+
3
)
Distribute
3
s
3s
3
s
:
We need to distribute
3
s
3s
3
s
to both terms inside the parentheses:
−
2
s
2
-2s^2
−
2
s
2
and
+
3
+3
+
3
.
\newline
3
s
(
−
2
s
2
+
3
)
=
3
s
(
−
2
s
2
)
+
3
s
(
3
)
3s(-2s^2 + 3) = 3s(-2s^2) + 3s(3)
3
s
(
−
2
s
2
+
3
)
=
3
s
(
−
2
s
2
)
+
3
s
(
3
)
Simplify
−
2
s
2
-2s^2
−
2
s
2
:
Now, simplify
3
s
(
−
2
s
2
)
3s(-2s^2)
3
s
(
−
2
s
2
)
.
\newline
3
s
(
−
2
s
2
)
=
−
6
s
3
3s(-2s^2) = -6s^3
3
s
(
−
2
s
2
)
=
−
6
s
3
Simplify
3
3
3
:
Next, simplify
3
s
(
3
)
3s(3)
3
s
(
3
)
.
\newline
3
s
(
3
)
=
9
s
3s(3) = 9s
3
s
(
3
)
=
9
s
Combine terms:
Combine the simplified terms to get the final answer.
\newline
3
s
(
−
2
s
2
+
3
)
=
−
6
s
3
+
9
s
3s(-2s^2 + 3) = -6s^3 + 9s
3
s
(
−
2
s
2
+
3
)
=
−
6
s
3
+
9
s
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\newline
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\newline
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\newline
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(
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Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
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Question
Is the function
q
(
x
)
=
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−
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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
)
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−
3
q
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(
−
3
q
2
+
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)
\newline
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Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
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(
r
+
3
)
(
4
r
+
2
)
\newline
______
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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
=
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=
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Posted 9 months ago
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