Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Factor.
\newline
p
2
−
3
p
−
4
p^2 - 3p - 4
p
2
−
3
p
−
4
View step-by-step help
Home
Math Problems
Algebra 2
Factor quadratics
Full solution
Q.
Factor.
\newline
p
2
−
3
p
−
4
p^2 - 3p - 4
p
2
−
3
p
−
4
Identify factors of
−
4
-4
−
4
:
Identify the
factors
of
−
4
-4
−
4
that add up to
−
3
-3
−
3
. The factors are
−
4
-4
−
4
and
+
1
+1
+
1
because
−
4
+
1
=
−
3
-4 + 1 = -3
−
4
+
1
=
−
3
.
Write expression:
Write the expression as
p
2
−
4
p
+
1
p
−
4
p^2 - 4p + 1p - 4
p
2
−
4
p
+
1
p
−
4
.
Group terms:
Group the terms:
(
p
2
−
4
p
)
+
(
1
p
−
4
)
(p^2 - 4p) + (1p - 4)
(
p
2
−
4
p
)
+
(
1
p
−
4
)
.
Factor out common factor:
Factor out the common factor from each group:
p
(
p
−
4
)
+
1
(
p
−
4
)
p(p - 4) + 1(p - 4)
p
(
p
−
4
)
+
1
(
p
−
4
)
.
Factor out common term:
Since
(
p
−
4
)
(p - 4)
(
p
−
4
)
is common, factor it out:
(
p
−
4
)
(
p
+
1
)
(p - 4)(p + 1)
(
p
−
4
)
(
p
+
1
)
.
More problems from Factor quadratics
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 9 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 9 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 9 months ago
Question
Factor.
\newline
g
2
−
11
g
+
18
g^2 - 11g + 18
g
2
−
11
g
+
18
Get tutor help
Posted 9 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 9 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 10 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 9 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 9 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 9 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 9 months ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant