Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
x
2
+
6
x
+
8
x^{2}+6 x+8
x
2
+
6
x
+
8
View step-by-step help
Home
Math Problems
Algebra 2
Factor polynomials
Full solution
Q.
x
2
+
6
x
+
8
x^{2}+6 x+8
x
2
+
6
x
+
8
Identify coefficients:
Identify the coefficients of the quadratic equation, which are
1
1
1
for
x
2
x^2
x
2
,
6
6
6
for
x
x
x
, and
8
8
8
as the constant term.
Find two numbers:
Find two numbers that multiply to
8
8
8
(the constant term) and add to
6
6
6
(the coefficient of the
x
x
x
term).
Factors of
8
8
8
:
The factors of
8
8
8
that add up to
6
6
6
are
2
2
2
and
4
4
4
.
Write factored form:
Write the factored form of the quadratic equation using the factors found in the previous step.
Final factored form:
The factored form is
(
x
+
2
)
(
x
+
4
)
(x + 2)(x + 4)
(
x
+
2
)
(
x
+
4
)
.
More problems from Factor polynomials
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
4
x
3
−
6
x
2
4x^3 - 6x^2
4
x
3
−
6
x
2
\newline
______
Get tutor help
Posted 2 months ago
Question
Factor
x
4
+
8
x
2
+
16
x^4 + 8x^2 + 16
x
4
+
8
x
2
+
16
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
Get tutor help
Posted 2 months ago
Question
Find the binomial that completes the factorization.
\newline
t
3
+
u
3
=
(
‾
)
(
t
2
−
t
u
+
u
2
)
t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)
t
3
+
u
3
=
(
)
(
t
2
−
t
u
+
u
2
)
Get tutor help
Posted 2 months ago
Question
Factor.
\newline
g
2
−
11
g
+
18
g^2 - 11g + 18
g
2
−
11
g
+
18
Get tutor help
Posted 2 months ago
Question
Factor.
\newline
2
y
3
−
y
2
+
16
y
−
8
2y^3 - y^2 + 16y - 8
2
y
3
−
y
2
+
16
y
−
8
\newline
______
\newline
Get tutor help
Posted 2 months ago
Question
Factor.
\newline
2
x
8
+
7
x
2
2x^8 + 7x^2
2
x
8
+
7
x
2
\newline
______
Get tutor help
Posted 3 months ago
Question
Factor.
\newline
9
y
12
+
4
y
5
−
y
2
9y^{12} + 4y^5 - y^2
9
y
12
+
4
y
5
−
y
2
\newline
______
Get tutor help
Posted 3 months ago
Question
Factor.
\newline
6
a
4
+
3
a
3
−
a
+
2
6a^4 + 3a^3 - a + 2
6
a
4
+
3
a
3
−
a
+
2
\newline
_____
Get tutor help
Posted 3 months ago
Question
Factor.
\newline
4
c
7
−
2
c
5
+
c
2
−
5
4c^7 - 2c^5 + c^2 - 5
4
c
7
−
2
c
5
+
c
2
−
5
\newline
_____
Get tutor help
Posted 3 months ago
Question
Factor.
\newline
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
7m^9 + 2m^6 - m^3 + 4m - 10
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
\newline
_____
Get tutor help
Posted 3 months ago