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Math Problems
Precalculus
Write a polynomial from its roots
Write a polynomial of least degree with roots
5
5
5
and
6
6
6
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
1
1
1
and
−
4
-4
−
4
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
−
1
-1
−
1
and
−
6
-6
−
6
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
−
7
-7
−
7
and
−
4
-4
−
4
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
−
1
-1
−
1
and
5
5
5
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
−
6
-6
−
6
and
−
2
-2
−
2
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
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Write a polynomial of least degree with roots
−
9
-9
−
9
and
−
6
-6
−
6
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
Get tutor help
Write a polynomial of least degree with roots
−
9
-9
−
9
and
−
3
-3
−
3
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
−
1
-1
−
1
and
−
9
-9
−
9
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
Get tutor help
Write a polynomial of least degree with roots
4
4
4
and
5
5
5
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
Get tutor help
Write a polynomial of least degree with roots
5
5
5
and
−
9
-9
−
9
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
Get tutor help
Write a polynomial of least degree with roots
−
1
-1
−
1
and
−
4
-4
−
4
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
Get tutor help
Write a polynomial of least degree with roots
1
1
1
and
8
8
8
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
2
2
2
and
−
9
-9
−
9
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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Write a polynomial of least degree with roots
0
0
0
and
−
5
-5
−
5
.
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
______
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4
4
4
. The expression
A
(
x
−
1
)
3
+
B
(
x
+
3
)
2
+
20
A(x-1)^{3}+B(x+3)^{2}+20
A
(
x
−
1
)
3
+
B
(
x
+
3
)
2
+
20
is exactly divisible by
x
+
1
x+1
x
+
1
and leaves a remainder of
26
26
26
when divided by
x
x
x
. Find the value of
A
A
A
and of
B
B
B
. Using these value found, rewrite the expression as a polynomial and factorize it completel
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6
6
6
Graph a bine that has a slope of
−
3
4
-\frac{3}{4}
−
4
3
and inclubes the point
(
−
3
,
2
)
(-3,2)
(
−
3
,
2
)
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
7
(
3
x
−
7
)
=
−
7
x
+
21
-7(3 x-7)=-7 x+21
−
7
(
3
x
−
7
)
=
−
7
x
+
21
\newline
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Write a polynomial
f
(
x
)
f(x)
f
(
x
)
that satisfies the given conditions.
\newline
Polynomial of lowest degree with zeros of
−
1
6
-\frac{1}{6}
−
6
1
(multiplicity
2
2
2
) and
3
4
\frac{3}{4}
4
3
(multiplicity
1
1
1
) and with
f
(
0
)
=
3
f(0)=3
f
(
0
)
=
3
.
\newline
f
(
x
)
=
f(x)=
f
(
x
)
=
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