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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
8
q
)
(
3
q
3
)
(8q)(3q^3)
(
8
q
)
(
3
q
3
)
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Home
Math Problems
Algebra 2
Multiply polynomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
8
q
)
(
3
q
3
)
(8q)(3q^3)
(
8
q
)
(
3
q
3
)
Identify expression:
Identify the expression to be simplified.
\newline
We need to multiply
(
8
q
)
(8q)
(
8
q
)
by
(
3
q
3
)
(3q^3)
(
3
q
3
)
.
Use distributive property:
Use the
distributive property
to multiply the two terms.
\newline
(
8
q
)
(
3
q
3
)
=
8
q
×
3
q
3
(8q)(3q^3) = 8q \times 3q^3
(
8
q
)
(
3
q
3
)
=
8
q
×
3
q
3
Multiply coefficients and exponents:
Multiply the coefficients (numbers) and add the exponents for the q terms.
8
×
3
=
24
8 \times 3 = 24
8
×
3
=
24
and
q
×
q
3
=
q
(
1
+
3
)
=
q
4
q \times q^3 = q^{(1+3)} = q^4
q
×
q
3
=
q
(
1
+
3
)
=
q
4
Combine results:
Combine the results to get the final product.
24
q
4
24q^4
24
q
4
is the simplified form of
(
8
q
)
(
3
q
3
)
(8q)(3q^3)
(
8
q
)
(
3
q
3
)
.
More problems from Multiply polynomials
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
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Question
Subtract.
\newline
(
9
a
+
5
)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
a
+
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)
−
(
2
a
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4
)
\newline
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Question
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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Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
4
v
+
1
)
\newline
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Posted 5 months ago
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
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
÷
6
t
\newline
______
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Posted 5 months ago
Question
Is the function
q
(
x
)
=
x
6
−
9
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 8 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 8 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 8 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 8 months ago
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