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Let’s check out your problem:
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
x
+
6
)
(
−
x
+
1
)
=
0
(x+6)(-x+1)=0
(
x
+
6
)
(
−
x
+
1
)
=
0
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
View step-by-step help
Home
Math Problems
Algebra 2
Find the roots of factored polynomials
Full solution
Q.
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
x
+
6
)
(
−
x
+
1
)
=
0
(x+6)(-x+1)=0
(
x
+
6
)
(
−
x
+
1
)
=
0
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
Factored Polynomial:
Factored polynomial:
(
x
+
6
)
(
−
x
+
1
)
(x + 6)(-x + 1)
(
x
+
6
)
(
−
x
+
1
)
\newline
Which equation finds the roots for this polynomial?
\newline
Set the polynomial equal to zero.
\newline
(
x
+
6
)
(
−
x
+
1
)
=
0
(x + 6)(-x + 1) = 0
(
x
+
6
)
(
−
x
+
1
)
=
0
First Root:
First root:
x
+
6
=
0
x + 6 = 0
x
+
6
=
0
What is the value of
x
x
x
?
x
+
6
=
0
x + 6 = 0
x
+
6
=
0
x
+
6
−
6
=
0
−
6
x + 6 - 6 = 0 - 6
x
+
6
−
6
=
0
−
6
x
=
−
6
x = -6
x
=
−
6
Second Root:
Second root:
−
x
+
1
=
0
-x + 1 = 0
−
x
+
1
=
0
\newline
What is the value of
x
x
x
?
\newline
−
x
+
1
=
0
-x + 1 = 0
−
x
+
1
=
0
\newline
−
x
+
1
−
1
=
0
−
1
-x + 1 - 1 = 0 - 1
−
x
+
1
−
1
=
0
−
1
\newline
−
x
=
−
1
-x = -1
−
x
=
−
1
\newline
x
=
1
x = 1
x
=
1
(Multiplying both sides by
−
1
-1
−
1
)
Ascending Order of Roots:
We have found two roots:
\newline
x =
−
6
-6
−
6
\newline
x =
1
1
1
\newline
Now we need to write the roots in ascending order.
\newline
Roots of the polynomial:
−
6
-6
−
6
,
1
1
1
More problems from Find the roots of factored polynomials
Question
Find the solutions of the quadratic equation
2
x
2
−
8
x
−
9
=
0
2 x^{2}-8 x-9=0
2
x
2
−
8
x
−
9
=
0
.
\newline
Choose
1
1
1
answer:
\newline
(A)
2
±
34
2
i
2 \pm \frac{\sqrt{34}}{2} i
2
±
2
34
i
\newline
(B)
−
2
±
34
2
i
-2 \pm \frac{\sqrt{34}}{2} i
−
2
±
2
34
i
\newline
(C)
2
±
34
2
2 \pm \frac{\sqrt{34}}{2}
2
±
2
34
\newline
(D)
1
±
34
4
1 \pm \frac{\sqrt{34}}{4}
1
±
4
34
Get tutor help
Posted 9 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
−
5
x
+
4
)
(
x
−
3
)
=
0
lesser
x
=
□
greater
x
=
□
\begin{array}{l} (-5 x+4)(x-3)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}
(
−
5
x
+
4
)
(
x
−
3
)
=
0
lesser
x
=
□
greater
x
=
□
Get tutor help
Posted 9 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
2
x
+
4
)
(
3
x
−
2
)
=
0
(2 x+4)(3 x-2)=0
(
2
x
+
4
)
(
3
x
−
2
)
=
0
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
Get tutor help
Posted 9 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
3
x
−
6
)
(
−
x
+
3
)
=
0
lesser
x
=
□
greater
x
=
□
\begin{array}{l} (3 x-6)(-x+3)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}
(
3
x
−
6
)
(
−
x
+
3
)
=
0
lesser
x
=
□
greater
x
=
□
Get tutor help
Posted 9 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
3
x
2
+
2
f(x)=\frac{3}{x^{2}+2}
f
(
x
)
=
x
2
+
2
3
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 9 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
1
4
−
x
2
f(x)=\frac{1}{4-x^{2}}
f
(
x
)
=
4
−
x
2
1
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 9 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
2
∣
x
∣
−
5
f(x)=2|x|-5
f
(
x
)
=
2∣
x
∣
−
5
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 9 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
x
2
+
1
f(x)=\frac{x}{x^{2}+1}
f
(
x
)
=
x
2
+
1
x
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 9 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
3
−
4
x
f(x)=x^{3}-4 x
f
(
x
)
=
x
3
−
4
x
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 9 months ago
Question
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
and then picking a
4
4
4
?
\newline
Write your answer as a percentage.
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Posted 28 days ago
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