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Let’s check out your problem:
Find the number of terms in this polynomial.
\newline
8
s
8
−
5
s
6
+
2
s
3
+
8
s
2
8s^8 - 5s^6 + 2s^3 + 8s^2
8
s
8
−
5
s
6
+
2
s
3
+
8
s
2
\newline
_____
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Math Problems
Algebra 1
Polynomial vocabulary
Full solution
Q.
Find the number of terms in this polynomial.
\newline
8
s
8
−
5
s
6
+
2
s
3
+
8
s
2
8s^8 - 5s^6 + 2s^3 + 8s^2
8
s
8
−
5
s
6
+
2
s
3
+
8
s
2
\newline
_____
Identify Terms:
Identify each distinct term in the polynomial
8
s
8
−
5
s
6
+
2
s
3
+
8
s
2
8s^8 - 5s^6 + 2s^3 + 8s^2
8
s
8
−
5
s
6
+
2
s
3
+
8
s
2
.
Count Distinct Terms:
Count the number of distinct terms. The polynomial has four distinct terms:
8
s
8
8s^8
8
s
8
,
−
5
s
6
-5s^6
−
5
s
6
,
2
s
3
2s^3
2
s
3
, and
8
s
2
8s^2
8
s
2
.
Verify Term Combination:
Verify that no terms can be combined.
\newline
Since all terms are of different degrees, none of them can be combined.
More problems from Polynomial vocabulary
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
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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
________
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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]]
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
______
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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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