Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 2
Write a polynomial from its roots
Write a polynomial of least degree with real coefficients and with the root
12
−
9
i
12 - 9i
12
−
9
i
. 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
7
7
7
,
−
7
-7
−
7
, and
−
2
-2
−
2
. 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
7
7
7
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
.
Get tutor help
Write a polynomial of least degree with roots
3
3
3
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
−
8
-8
−
8
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
8
8
8
and
−
7
-7
−
7
.
\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
7
7
7
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
.
Get tutor help
Write a polynomial of least degree with roots
8
8
8
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
2
2
2
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
______
Get tutor help
Write a polynomial of least degree with roots
6
6
6
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
3
3
3
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
______
Get tutor help
Write a polynomial of least degree with roots
6
6
6
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
2
2
2
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
8
8
8
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
.
\newline
______
Get tutor help
Write a polynomial of least degree with roots
−
9
-9
−
9
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
.
Get tutor help
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
.
\newline
______
Get tutor help
Write a polynomial of least degree with roots
9
9
9
and
−
7
-7
−
7
.
\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
Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
3
(
9
x
−
7
)
−
1
=
4
x
+
6
(
−
x
+
7
)
3(9 x-7)-1=4 x+6(-x+7)
3
(
9
x
−
7
)
−
1
=
4
x
+
6
(
−
x
+
7
)
\newline
Get tutor help
Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
4
+
6
(
−
8
x
+
8
)
=
4
(
9
x
−
5
)
+
5
4+6(-8 x+8)=4(9 x-5)+5
4
+
6
(
−
8
x
+
8
)
=
4
(
9
x
−
5
)
+
5
\newline
Get tutor help
8
−
4
(
−
x
+
5
)
8-4(-x+5)
8
−
4
(
−
x
+
5
)
\newline
Which of the following is equivalent to the given expression?
\newline
Choose
1
1
1
answer:
\newline
(A)
4
x
−
12
4 x-12
4
x
−
12
\newline
(B)
−
4
x
−
12
-4 x-12
−
4
x
−
12
\newline
(C)
4
x
+
13
4 x+13
4
x
+
13
\newline
(D)
4
x
+
5
4 x+5
4
x
+
5
Get tutor help
Three points on the graph of the function
f
(
x
)
f(x)
f
(
x
)
are
{
(
0
,
3
)
,
(
1
,
9
)
,
(
2
,
27
)
}
\{(0,3),(1,9),(2,27)\}
{(
0
,
3
)
,
(
1
,
9
)
,
(
2
,
27
)}
. Which equation represents
f
(
x
)
f(x)
f
(
x
)
?
Get tutor help
Write a polynomial
f
(
x
)
f(x)
f
(
x
)
that satisfies the given conditions. Polynomial of lowest degree with zeros of
5
3
\frac{5}{3}
3
5
(multiplicity
2
2
2
) and
−
2
3
-\frac{2}{3}
−
3
2
(multiplicity
1
1
1
) and with
f
(
0
)
=
−
100
f(0)=-100
f
(
0
)
=
−
100
.
Get tutor help
Write a polynomial of least degree with real coefficients and with the root
1
−
6
i
1-6i
1
−
6
i
.
Get tutor help
Let
h
(
x
)
=
x
+
12
−
3
x
+
3
h(x)=\frac{\sqrt{x+12}-3}{x+3}
h
(
x
)
=
x
+
3
x
+
12
−
3
when
x
≠
−
3
x \neq-3
x
=
−
3
.
\newline
h
h
h
is continuous for all
x
>
−
12
x>-12
x
>
−
12
.
\newline
Find
h
(
−
3
)
h(-3)
h
(
−
3
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
9
-\frac{1}{9}
−
9
1
\newline
(B)
1
9
\frac{1}{9}
9
1
\newline
(c)
−
1
6
-\frac{1}{6}
−
6
1
\newline
(D)
1
6
\frac{1}{6}
6
1
Get tutor help
Write a polynomial of least degree with roots
6
6
6
and
−
5
-5
−
5
.
\newline
\newline
Write your answer using the variable
x
x
x
and in standard form with a leading coefficient of
1
1
1
.
\newline
\newline
______
Get tutor help
