Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Factor.
\newline
q
2
+
6
q
+
5
q^2 + 6q + 5
q
2
+
6
q
+
5
View step-by-step help
Home
Math Problems
Algebra 1
Factor quadratics with leading coefficient 1
Full solution
Q.
Factor.
\newline
q
2
+
6
q
+
5
q^2 + 6q + 5
q
2
+
6
q
+
5
Identify
b
b
b
and
c
c
c
:
Identify
b
b
b
and
c
c
c
in the quadratic expression
q
2
+
6
q
+
5
q^2 + 6q + 5
q
2
+
6
q
+
5
.
\newline
b
=
6
b = 6
b
=
6
,
c
=
5
c = 5
c
=
5
Find two numbers:
Find two numbers that multiply to
c
(
5
)
c (5)
c
(
5
)
and add up to
b
(
6
)
b (6)
b
(
6
)
.
\newline
Numbers:
1
1
1
and
5
5
5
, because
1
×
5
=
5
1 \times 5 = 5
1
×
5
=
5
and
1
+
5
=
6
1 + 5 = 6
1
+
5
=
6
.
Write factored form:
Write the factored form using the two numbers found.
\newline
Factored form:
(
q
+
1
)
(
q
+
5
)
(q + 1)(q + 5)
(
q
+
1
)
(
q
+
5
)
More problems from Factor quadratics with leading coefficient 1
Question
Find the greatest common factor.
\newline
9
v
3
,
6
v
3
9v^3, 6v^3
9
v
3
,
6
v
3
\newline
\newline
Write your answer as a constant times a product of single variables raised to exponents.
\newline
‾
\underline{\hspace{1cm}}
Get tutor help
Posted 9 months ago
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
6
x
3
+
9
x
2
6x^3 + 9x^2
6
x
3
+
9
x
2
\newline
______
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
k
2
+
9
k
+
18
k^2 + 9k + 18
k
2
+
9
k
+
18
\newline
______
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
9
j
2
−
16
9j^2 - 16
9
j
2
−
16
\newline
______
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
j
3
+
2
j
2
+
5
j
+
10
j^3 + 2j^2 + 5j + 10
j
3
+
2
j
2
+
5
j
+
10
Get tutor help
Posted 9 months ago
Question
Factor
x
4
+
6
x
2
+
9
x^4 + 6x^2 + 9
x
4
+
6
x
2
+
9
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
Get tutor help
Posted 1 year ago
Question
Factor.
\newline
z
2
+
13
z
+
22
z^2 + 13z + 22
z
2
+
13
z
+
22
\newline
______
Get tutor help
Posted 1 year ago
Question
Simplify the expression:
\newline
5
x
+
9
x
−
4
x
−
2
x
5x + 9x - 4x - 2x
5
x
+
9
x
−
4
x
−
2
x
\newline
______
Get tutor help
Posted 1 year ago
Question
3
−
3
2
3 - 3^2
3
−
3
2
Get tutor help
Posted 1 year ago
Question
5
−
5
2
5 - 5^2
5
−
5
2
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant