1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrRissso [65]
3 years ago
5

Find the GCF of the terms of the polynomial. ANSWER WITH AN EXPLANATION please im bad at this

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:2p

Step-by-step explanation: Find the common factors for the numerical part:

4

,

12

,

−

18

4

,

12

,

-

18

The factors for

4

4

are

1

,

2

,

4

1

,

2

,

4

.

Tap for more steps...

1

,

2

,

4

1

,

2

,

4

The factors for

12

12

are

1

,

2

,

3

,

4

,

6

,

12

1

,

2

,

3

,

4

,

6

,

12

.

Tap for more steps...

1

,

2

,

3

,

4

,

6

,

12

1

,

2

,

3

,

4

,

6

,

12

The factors for

−

18

-

18

are

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

-

18

,

-

9

,

-

6

,

-

3

,

-

2

,

-

1

,

1

,

2

,

3

,

6

,

9

,

18

.

Tap for more steps...

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

-

18

,

-

9

,

-

6

,

-

3

,

-

2

,

-

1

,

1

,

2

,

3

,

6

,

9

,

18

List all the factors for

4

,

12

,

−

18

4

,

12

,

-

18

to find the common factors.

4

4

:

1

,

2

,

4

1

,

2

,

4

12

12

:

1

,

2

,

3

,

4

,

6

,

12

1

,

2

,

3

,

4

,

6

,

12

−

18

-

18

:

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

-

18

,

-

9

,

-

6

,

-

3

,

-

2

,

-

1

,

1

,

2

,

3

,

6

,

9

,

18

The common factors for

4

,

12

,

−

18

4

,

12

,

-

18

are

1

,

2

1

,

2

.

1

,

2

1

,

2

The GCF for the numerical part is

2

2

.

GCF

Numerical

=

2

GCF

Numerical

=

2

Next, find the common factors for the variable part:

p

3

,

p

2

,

p

p

3

,

p

2

,

p

The factors for

p

3

p

3

are

p

⋅

p

⋅

p

p

⋅

p

⋅

p

.

p

⋅

p

⋅

p

p

⋅

p

⋅

p

The factors for

p

2

p

2

are

p

⋅

p

p

⋅

p

.

p

⋅

p

p

⋅

p

The factor for

p

1

p

1

is

p

p

itself.

p

List all the factors for

p

3

,

p

2

,

p

1

p

3

,

p

2

,

p

1

to find the common factors.

p

3

=

p

⋅

p

⋅

p

p

3

=

p

⋅

p

⋅

p

p

2

=

p

⋅

p

p

2

=

p

⋅

p

p

1

=

p

p

1

=

p

The common factor for the variables

p

3

,

p

2

,

p

1

p

3

,

p

2

,

p

1

is

p

p

.

p

The GCF for the variable part is

p

p

.

GCF

Variable

=

p

GCF

Variable

=

p

Multiply the GCF of the numerical part

2

2

and the GCF of the variable part

p

p

.

2

p

You might be interested in
Variable y varies directly with variable x, and y = 45 when x = 9.
weqwewe [10]
X  ----------> y
9 ----x5--->45

Namely,
2-----x5 --->y
y= 2.5 =10
4 0
4 years ago
Read 2 more answers
What is the length of the hypotenuse of the triangle?
kari74 [83]

Answer:

The last answer \sqrt{65}

Step-by-step explanation:

7^2+4^2 = 65

The formula to find it is a^2+b^2=c^2

so \sqrt{65} is correct

4 0
2 years ago
Read 2 more answers
What is equivalent to 2^5
Akimi4 [234]

Answer:

Step-by-step explanation:

2⁵ = 2*2*2*2*2

     = 32

3 0
3 years ago
Https://cook.owschools.com/media/g_alg02_ccss_2016/4/q16210.gif
labwork [276]
Im assuming your supposed to find like terms soo... as my final answer i got 11m-3n-13
3 0
4 years ago
Two lines, A and B, are represented by the following equations:
almond37 [142]

Answer:

D.

Step-by-step explanation:

The solution is where the lines intersect which is at the point (3,2).

So the answer is Option D.

The point (3,2) satisfies both equations.

4 0
3 years ago
Read 2 more answers
Other questions:
  • While eating lunch, Zeshon ate 75% of the carrots he had in his bag. There were 12 carrots in his bag. How many carrots did Zesh
    9·1 answer
  • Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear?
    11·1 answer
  • HELP PLEASE!!!!!✊- 15 pts.<br><br><br> If there is an 8% tax on a $20 shirt was is the tax amount?
    15·2 answers
  • What is the answer to <br> 4x +3 (2x - 1) - 4x
    9·1 answer
  • 3x+y=6<br> 5x-2y=10<br> the systems of equation using the addition method.
    9·1 answer
  • The developer of an energy-efficient lawn mower engine claims that the engine will run continuously for 300 minutes on a single
    7·1 answer
  • Jamar is planning to survey a company’s employees. He will ask employees how long they’ve worked for the company and how much th
    15·2 answers
  • Emma types one-third of a paper for History class in hour. What
    6·1 answer
  • Help please lolz thanks
    7·2 answers
  • Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space pr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!