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Let’s check out your problem:
Add.
\newline
(
3
v
2
+
8
v
+
3
)
+
(
2
v
2
+
7
v
)
(3v^2 + 8v + 3) + (2v^2 + 7v)
(
3
v
2
+
8
v
+
3
)
+
(
2
v
2
+
7
v
)
\newline
______
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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
Full solution
Q.
Add.
\newline
(
3
v
2
+
8
v
+
3
)
+
(
2
v
2
+
7
v
)
(3v^2 + 8v + 3) + (2v^2 + 7v)
(
3
v
2
+
8
v
+
3
)
+
(
2
v
2
+
7
v
)
\newline
______
Write Polynomials:
Write down the polynomials to be added.
\newline
We have two polynomials:
3
v
2
+
8
v
+
3
3v^2 + 8v + 3
3
v
2
+
8
v
+
3
and
2
v
2
+
7
v
2v^2 + 7v
2
v
2
+
7
v
. We need to combine like terms to find the sum.
Combine
v
2
v^2
v
2
Terms:
Combine the
v
2
v^2
v
2
terms.
\newline
Add the coefficients of the
v
2
v^2
v
2
terms from both polynomials.
\newline
3
v
2
+
2
v
2
=
5
v
2
3v^2 + 2v^2 = 5v^2
3
v
2
+
2
v
2
=
5
v
2
Combine
v
v
v
Terms:
Combine the
v
v
v
terms.
\newline
Add the coefficients of the
v
v
v
terms from both polynomials.
\newline
8
v
+
7
v
=
15
v
8v + 7v = 15v
8
v
+
7
v
=
15
v
Combine Constant Terms:
Combine the constant terms.
\newline
Since there is only one constant term in the first polynomial, we simply bring it down.
\newline
3
3
3
Write Final Sum:
Write down the final sum of the polynomials.
\newline
Combine the results from steps
2
2
2
,
3
3
3
, and
4
4
4
.
\newline
5
v
2
+
15
v
+
3
5v^2 + 15v + 3
5
v
2
+
15
v
+
3
More problems from Add, subtract, multiply, and divide polynomials
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
Get tutor help
Posted 5 months ago
Question
Subtract.
\newline
(
9
a
+
5
)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
a
+
5
)
−
(
2
a
+
4
)
\newline
____
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Posted 5 months ago
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
________
Get tutor help
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
______
Get tutor help
Posted 5 months ago
Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
Get tutor help
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
______
Get tutor help
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]]
Get tutor help
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
______
Get tutor help
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
______
Get tutor help
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
=
____
Get tutor help
Posted 9 months ago
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