Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Precalculus
Factor sums and differences of cubes
Find all the factor pairs for
33
33
33
and complete the equations.
\newline
33
=
1
×
_
_
33 = 1 \times \_\_
33
=
1
×
__
\newline
33
=
_
_
×
11
33 = \_\_ \times 11
33
=
__
×
11
Get tutor help
Find all the factor pairs for
40
40
40
and complete the equations.
\newline
40
=
_
_
_
×
40
40 = \_\_\_ \times 40
40
=
___
×
40
\newline
40
=
2
×
_
_
_
40 = 2\times \_\_\_
40
=
2
×
___
\newline
40
=
_
_
_
×
10
40 = \_\_\_ \times 10
40
=
___
×
10
\newline
40
=
5
×
_
_
_
40 = 5 \times \_\_\_
40
=
5
×
___
Get tutor help
Find all the factor pairs for
52
52
52
and complete the equations.
\newline
52
=
1
×
_
_
_
52 = 1 \times \_\_\_
52
=
1
×
___
\newline
52
=
_
_
_
×
26
52 = \_\_\_ \times 26
52
=
___
×
26
\newline
52
=
4
×
_
_
_
52 = 4 \times \_\_\_
52
=
4
×
___
Get tutor help
Factor out the greatest common factor (GCF):
\newline
4
a
2
+
4
a
b
4a^{2}+4ab
4
a
2
+
4
ab
Get tutor help
Write the following number in scientific notation.
\newline
1
,
598
,
000
,
000
1,598,000,000
1
,
598
,
000
,
000
Get tutor help
Determine the solutions of each quadratic equation using the factoring method.
\newline
x
2
−
3
x
−
4
=
0
x^{2}-3x-4=0
x
2
−
3
x
−
4
=
0
Get tutor help
p
=
1
2
k
x
2
p=\frac{1}{2} k x^{2}
p
=
2
1
k
x
2
\newline
As springs compress or stretch, potential energy in joules,
p
p
p
, is stored in them according to the given equation, where
k
k
k
is the spring constant in newtons per meter and
x
x
x
is the distance the springs compress or stretch. Tractor seats are mounted on springs to absorb impact. If the springs have a spring constant of
25
25
25
,
600
600
600
newtons per meter, what is the distance, in meters, the springs must compress or stretch in order to store
8
8
8
joules of potential energy?
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
.
000625
000625
000625
\newline
(B)
0
0
0
.
025
025
025
\newline
(C)
3200
3200
3200
\newline
(D)
102
102
102
,
400
400
400
meters
Get tutor help
Find the binomial that completes the factorization.
\newline
p
3
−
1
=
(
‾
)
(
p
2
+
p
+
1
)
p^3 - 1 = (\underline{\hspace{3cm}})(p^2 + p + 1)
p
3
−
1
=
(
)
(
p
2
+
p
+
1
)
Get tutor help
Find the binomial that completes the factorization.
\newline
t
3
−
125
=
(
‾
)
(
t
2
+
5
t
+
25
)
t^3 - 125 = (\underline{\hspace{3em}})(t^2 + 5t + 25)
t
3
−
125
=
(
)
(
t
2
+
5
t
+
25
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
x
3
+
512
=
(
x
+
8
)
(
_
_
_
_
_
)
x^3 + 512 = (x + 8)(\_\_\_\_\_)
x
3
+
512
=
(
x
+
8
)
(
_____
)
Get tutor help
Find the binomial that completes the factorization.
\newline
x
3
+
8
=
(
‾
)
(
x
2
−
2
x
+
4
)
x^3 + 8 = (\underline{\hspace{3cm}})(x^2 - 2x + 4)
x
3
+
8
=
(
)
(
x
2
−
2
x
+
4
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
q
3
−
125
=
(
q
−
5
)
(
_
_
_
_
_
_
)
q^3 - 125 = (q - 5)(\_\_\_\_\_\_)
q
3
−
125
=
(
q
−
5
)
(
______
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
t
3
+
1
=
(
t
+
1
)
(
_
_
_
_
_
)
t^3 + 1 = (t + 1)(\_\_\_\_\_)
t
3
+
1
=
(
t
+
1
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
c
3
−
216
=
(
c
−
6
)
(
_
_
_
_
_
)
c^3 - 216 = (c - 6)(\_\_\_\_\_)
c
3
−
216
=
(
c
−
6
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
x
3
−
64
=
(
x
−
4
)
(
_
_
_
_
_
)
x^3 - 64 = (x - 4)(\_\_\_\_\_)
x
3
−
64
=
(
x
−
4
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
u
3
+
1
=
(
u
+
1
)
(
_
_
_
_
_
)
u^3 + 1 = (u + 1)(\_\_\_\_\_)
u
3
+
1
=
(
u
+
1
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
c
3
+
8
=
(
c
+
2
)
(
_
_
_
_
_
)
c^3 + 8 = (c + 2)(\_\_\_\_\_)
c
3
+
8
=
(
c
+
2
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
x
3
−
y
3
=
(
x
−
y
)
(
_
_
_
_
_
)
x^3 - y^3 = (x - y)(\_\_\_\_\_)
x
3
−
y
3
=
(
x
−
y
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
y
3
+
z
3
=
(
y
+
z
)
(
_
_
_
_
_
)
y^3 + z^3 = (y + z)(\_\_\_\_\_)
y
3
+
z
3
=
(
y
+
z
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
r
3
−
512
=
(
r
−
8
)
(
_
_
_
_
_
)
r^3 - 512 = (r - 8)(\_\_\_\_\_)
r
3
−
512
=
(
r
−
8
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
x
3
−
1
=
(
x
−
1
)
(
_
_
_
_
_
)
x^3 - 1 = (x - 1)(\_\_\_\_\_)
x
3
−
1
=
(
x
−
1
)
(
_____
)
Get tutor help
Find the binomial that completes the factorization.
\newline
q
3
−
r
3
=
(
‾
)
(
q
2
+
q
r
+
r
2
)
q^3 - r^3 = (\underline{\hspace{3em}})(q^2 + qr + r^2)
q
3
−
r
3
=
(
)
(
q
2
+
q
r
+
r
2
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
w
3
+
125
=
(
w
+
5
)
(
_
_
_
_
_
)
w^3 + 125 = (w + 5)(\_\_\_\_\_)
w
3
+
125
=
(
w
+
5
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
q
3
+
r
3
=
(
q
+
r
)
(
_
_
_
_
_
)
q^3 + r^3 = (q + r)(\_\_\_\_\_)
q
3
+
r
3
=
(
q
+
r
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
w
3
+
8
=
(
w
+
2
)
(
_
_
_
_
_
)
w^3 + 8 = (w + 2)(\_\_\_\_\_)
w
3
+
8
=
(
w
+
2
)
(
_____
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
r
3
+
s
3
=
(
r
+
s
)
(
_
_
_
_
_
)
r^3 + s^3 = (r + s)(\_\_\_\_\_)
r
3
+
s
3
=
(
r
+
s
)
(
_____
)
Get tutor help
Determine the minimum value of
y
=
(
x
−
5
)
2
y=(x-5)^2
y
=
(
x
−
5
)
2
Get tutor help
40
40
40
.
a
2
−
b
2
+
2
a
+
1
a
+
1
+
b
=
\frac{a^{2}-b^{2}+2 a+1}{a+1+b}=
a
+
1
+
b
a
2
−
b
2
+
2
a
+
1
=
?
\newline
A)
a
+
3
b
+
1
a+3 b+1
a
+
3
b
+
1
\newline
B)
3
a
−
b
+
1
3 a-b+1
3
a
−
b
+
1
\newline
C)
a
−
b
+
1
a-b+1
a
−
b
+
1
\newline
D)
a
−
b
+
3
a-b+3
a
−
b
+
3
\newline
E)
a
+
b
−
1
a+b-1
a
+
b
−
1
Get tutor help
Find the zeros of the function
F
(
x
)
=
x
3
+
8
F(x)=x^3+8
F
(
x
)
=
x
3
+
8
Get tutor help
Evaluate the expression with the given replacement value.
\newline
x
2
when
x
=
−
8
x^{2} \text { when } x=-8
x
2
when
x
=
−
8
Get tutor help
What term should go in the box to make the statement true?
\newline
3
x
2
+
10
x
−
8
=
(
3
x
−
2
)
(
x
3x^2+10x-8=(3x-2)(x
3
x
2
+
10
x
−
8
=
(
3
x
−
2
)
(
x
+
□
)
\square)
□
)
Get tutor help
Complete the factoring.
\newline
x
2
+
6
x
−
40
=
(
x
−
4
)
(
□
)
x^{2}+6x-40=(x-4)(\square)
x
2
+
6
x
−
40
=
(
x
−
4
)
(
□
)
Get tutor help
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
\newline
3
x
−
7
,
3
x
−
10
,
3
x
−
13
,
...
3 x-7, \quad 3 x-10, \quad 3 x-13, \quad \text {... }
3
x
−
7
,
3
x
−
10
,
3
x
−
13
,
...
\newline
−
3
-3
−
3
\newline
17
17
17
\newline
−
17
-17
−
17
\newline
3
3
3
Get tutor help
