What is the greatest common factor, and how is the distributive property used to factor it out from a polynomial?

Answers

Answer 1

Answer:

To factor a polynomial, identify the greatest common factor of the monomial terms, and then use the Distributive Property to rewrite the expression. Once a polynomial in a • b + a • c form has been rewritten as a(b + c), where a is the GCF, we say that the polynomial is in factored form.

Step-by-step explanation:

Answer 2

Answer:

To factor a polynomial, identify the greatest common factor of the monomial terms, and then use the Distributive Property to rewrite the expression. Once a polynomial in a • b + a • c form has been rewritten as a(b + c), where a is the GCF, we say that the polynomial is in factored form.

Step-by-step explanation:


Related Questions

help me please!!!!!!!!!!!!

Answers

Answer: I think it's no, sorry if I can't help

Step-by-step explanation:

Name all the angles that have V as a vertex.

Answers

Answer:

Angle 3

Angle 4

Angle DVE

Angle FVE

Angle DVF

The angles that have V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]

Recall:

A vertex of any angle is simply the corner of an angle that forms a V-shape.

Three points make up an angle

Letters can be used to represent the three points

The letter at the middle of the three letters is the vertex of the angle

Angles can be named using the numbers that are used in labelling the vertex of each angle

Thus, from the given image,

Each of the following angles has V as the vertex of its angle:

[tex]\angle 3 $ and $ \angle 4[/tex] has vertex V

[tex]\angle DVF, $ \angle DVE, $ and \angle EVF[/tex] has V as a vertex.

Therefore, the list of all angles having V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]  

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list all the rational roots of f(x)=36x^3-15x^2-17x+6

a. -1/3, 3/4, 1/3

b. -1/3, 2/, -3/4

c. -2/3, 3/4, 1/3

d. -2/3, 1/6, 2/3

Answers

Answer: A on Edge

Step-by-step explanation:

1,000,000 divided by 6500 i will mark brainlest

Answers

Answer:

153.846153846

Step-by-step explanation:

{\__/}

( • . •) want this cookie?

/ >

{\__/}

( • - •)

< \ just kidding its for me

Can you help me please?

Answers

Answer:

53/54 = 106/108

Step-by-step explanation:

You can find the answer because 53/54 * 2/2 = 106/108

2/2 = 1 - right? When you multiply any number by one, it stays the same. That's how you can tell, 53/54 = 106/108.

Answer:

No it cant

Step-by-step explanation:

it would have to be 54/54 to be equal to 1.

The value of a car depreciates (decreases)by 10% every year. If the value of the new car is rupees 225000,what will be its value after one year?​

Answers

Answer:

Care Value will be 202500 Rupees.

Step-by-step explanation:

2225000(0.9)

Rachel put $2200 into an account that pays 4.2% simple interest for 5 years.
How much is in the account?

Answers

Answer:

Step-by-step explanation:

4015000

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Answers

Answer: 22 x 10 = 220

The Yates family’s cell phone bill is $175 a month. How much will they pay for a year (12 months)?

Answers

Answer:

The Yates phone bill will be $2100 for a year.

Step-by-step explanation:

175x12=2100

Answer:

2100

Step-by-step explanation:

but i think i be broke after that

A plane traveled 4575 miles with the wind in 7.5 hours and 4275 miles against the wind in the same amount of time. Find the speed of the plane in still air and the
speed of the wind.
The speed of the plane in still air is mph. (Simplify your answer.)
The speed of the wind is mph. (Simplify your answer.)

Answers

Answer:

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Step-by-step explanation:

Let's call:

x = Speed of the plane in still air

y = Speed of the wind

The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:

[tex]\displaystyle x+y=\frac{4575}{7.5}=610[/tex]

x + y = 610        [1]

The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:

[tex]\displaystyle x-y=\frac{4275}{7.5}=570[/tex]

x - y = 570        [2]

Adding [1] and [2]:

2x = 610 + 570 = 1180

x = 1180 / 2 = 590

From [1]:

y = 610 - 590 = 20

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Can someone help me plz

Answers

Answer:

x=70 y=110 z=30 is all of the variables

Chose the missing side length and the trigonometric ratio you would use to calculate.

Answers

Answer:

The missing value is 2.9mm and cosine was used

Step-by-step explanation:

Given triangle is a right-angled triangle  we can use trigonometric ratios to calculate the missing length.

In the given triangle,

Base = k

Hypotenuse = 15mm

Angle = 79

We will use trigonometric ratio which includes base and hypotenuse.

Using cosine,

[tex]cos\ (angle) = \frac{Base}{hypotenuse}\\cos\ 79 = \frac{k}{15}\\k = cos\ 79 * 15\\k = 0.1908*15\\k = 2.862[/tex]

Rounding off to nearest tenth

[tex]k= 2.9mm[/tex]

Hence,

The missing value is 2.9mm and cosine was used

Scale Factor
As a word problem......
A playground is 15 cm wide. After dilation, it is 150 cm wide. What is the scale factor of the dilation?

Answers

Answer:

10

My Logic:

if im correct the scale playground is 15cm wide while the real playground is 150 cm wide. That means that the scale playground is 1/10 of the real one or 1/10 scale.

Hope the helps!

Will mark brainliest on this answer!

Answers

Answer:

[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex][tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]

Step-by-step explanation:

Given the two points

(-3, 10)(7, 15)

Determining the distance between the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{10^2+5^2}[/tex]

[tex]=\sqrt{100+25}[/tex]

[tex]=\sqrt{125}[/tex]

[tex]=\sqrt{5^3}[/tex]

[tex]=\sqrt{5^2\cdot \:5}[/tex]

[tex]=5\sqrt{5}[/tex]

Therefore,

[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex]

Determining the midpoints between the points

Given the two points

(-3, 10)(7, 15)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)[/tex]

[tex]=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)[/tex]

[tex]=\left(2,\:\frac{25}{2}\right)[/tex]

Therefore,

[tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]

please answer as soon as possible

8^1/6 multiplied by 2^x = 32^1/2

what is the exact value of x

Answers

Answer:8^1/6*2^x=32^1/2

We move all terms to the left:

8^1/6*2^x-(32^1/2)=0

Domain of the equation: 6*2^x!=0

x!=0/1

x!=0

x∈R

We get rid of parentheses

8^1/6*2^x-32^1/2=0

We calculate fractions

There is no solution for this equation

   

plz answer this question find value of x in the give figure ​

Answers

Answer:

still blurry

Step-by-step explanation:

What is 1000000×1000000?​

Answers

Answer:

1×10 exponent 12

Step-by-step explanation:

hipe that helped

Answer:

Hi, I'm new can I get marked as Brainliest It would be highly appreciated.

Hope my answer helps :)

lets get into answering your question.

Step-by-step explanation:

1e+12

what is the answer pls tell​

Answers

Answer: Maddie is nine

Step-by-step explanation:

PETER: 9

Kelly: 12

MAX: 14

Ashley: 11

Maddie: 9

see the picture above please help me thank you

Answers

Answer:

C. 0.5

Step-by-step explanation:

If point B is nearest to zero and that far from three, it is going to be 0.5. Not to mention, you can estimate that point is about a half from one.

Answer:

C

Step-by-step explanation:

A - 3.6 is ahead of C, so nope

B - -0.2 is behind A, nope

C - 0.5 works because it seems reasonably distanced (closer to 0 than 3.5)

D - 2 is closer to 3.5, but point b is closer to 0.

Also, if you divide the section between A and C by 7, you can find that 0.5 works because it should be the first section of 0.5

What is an explicit rule for the sequence 9, 14, 19, 24

Answers

Answer: an arithmetic sequence

Step-by-step explanation:

how many times does 12 go into 95

Answers

Answer:7

Step-by-step explanation:

95/12=7.916666666666666666666666666

Answer:

Only 7 but the exact form will be 7[tex]\frac{11\\}{12}[/tex].

Step-by-step explanation:

Hope this helps:)!

2
Write -1
3
as a decimal.

Answers

Answer:

umm maybe 1.3

Step-by-step explanation:

7)Twice a number when decreased by 7 gives 45. Find the number.​

Answers

Isn’t it 26... cuz 26x2 is 52 then subtract 7 which is 45

At a Halloween party the goody bags had 1 Mini Snickers,
1 Mini M&M Bag and 1 Mini Twix.
There were 9 guests at the party . What is the total cost of the
candy for 9 guests?
1 Mini Twix: 28¢
1 Mini M&M Bag: 41¢
1 Mini Snickers: 32 ¢

Answers

Answer:

fwnancasca

Step-by-step explanation:

32+9

Please help me please help it’s due today at 3:10pm please help me please will mark the brainiest with please help me

Answers

Answer:

4 years if my math is correct

Step-by-step explanation:

What is the LCM of 72 and 75​

Answers

lcm (72; 75) = 1,800: least common multiple, calculated. The numbers have common prime factors.

Please help me so I can help my little sister

Answers

Answer: Valentina measured incorrectly.

Step-by-step explanation: 1 feet equals to 12 inches. If you substitute this value for all the other values like 5 ft and 8 inches (Noah's measurement). Firstly, 5 multiplied by 12 is 60, then you would add 8 to it. Caleb already measured the same amount of inches as Noah so we can just leave that one. Same with Mary, 3 * 12 inches = 36 plus 32 which is also 68. Finally, we are left with Valentina in which she has 2 * 12 inches =24 plus 48 which is 72, not 68. Hence, Valentina measured incorrectly.

Help please and thank you

Answers

The length of TR is 8

Greatest common factor 16 and 100

Answers

Answer:

4

Step-by-step explanation:

The greatest common factor (GCF)

The greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

Here,

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can evenly divide both numbers.

Here's the step-by-step process to find the GCF of 16 and 100:

Step 1: List the factors of each number.

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Prime factorization of 16:

16 = 2 * 2 * 2 * 2

Prime factorization of 100:

100 = 2 * 2 * 5 * 5

Step 2: Identify the common factors.

The common factors of 16 and 100 are 1, 2, 4.

Step 3: Find the greatest common factor.

Among the common factors, the greatest common factor (GCF) is the largest one, which is 4.

So, the GCF of 16 and 100 is 4.

In conclusion, the greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

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What is the equation of this line in standard form?


6x−7y=−11

6x−5y=−13

6x−7y=11

7x−6y=11
Number graph ranging from negative five to five on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative three comma negative one end ordered pair and begin ordered pair one-half comma two end ordered pair

Answers

Answer:

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope.

Finding slope :

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

[tex]m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}[/tex]

Now taking point (1/2,2) and slope m = 6/7 finding equation:

[tex]y-y_{1}=m(x-x_{1})y-2=\frac{6}{7}(x-\frac{1}{2})\\ 7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11[/tex]

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of the equation

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPS YOU LEARN! :)

Equation of this line in standard form:

6x − 7y = −11

Given points:

(-3, -1) ; (1/2 , 2)

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (-3,-1)

The equation used is:

(y - y1) = m (x - x1)

m = slope = y2 - y1 /x2 - x1

Now,

(-3,-1) : (x1 , y1)

(1/2,2) : (x2 , y2)

m = slope = y2 - y1 /x2 - x1

m = 2- (-1)/ 1/2 - (-3)

m = 6/7

Substitute the values in the standard form,

y - (-1) = 6/7 [x- (-3)]

⇒6x−7y=−11

Hence

Equation of this line in standard form:

6x − 7y = −11

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