What is the factored form of the binomial expansion x4 – 16x3 + 96x2 – 256x + 256?

Answers

Answer 1

Answer:

(x-4)*(x-4)*(x-4)*(x-4) or (x-4)^4

Step-by-step explanation:

x^4 – 16x^3 + 96x^2 – 256x + 256

terms with odd exponents are negative

x^4 has a coefficient of one, so the expression's GCF is 1

Thus, we need to factor out the expression as it is:

(x-4)*(x-4)*(x-4)*(x-4)

Lets multiply it out to check:

(x-4)*(x-4)*(x-4)*(x-4)=

(x^2-8x+16)*(x^2-8x+16)=

x^48x^3+16x^2−8x^3+64x^2−128x+16x^2−128x+256=

x^4 – 16x^3 + 96x^2 – 256x + 256

thus, the factored form is:

(x-4)*(x-4)*(x-4)*(x-4) or (x-4)^4


Related Questions

Why is the median listed at 55 when none of the data points is 55?

Answers

Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.

Step-by-step explanation:

A can holds 2 liters of paint. How many cans can we fill with 11 liters of paint?

Answers

Answer:

5.5

Step-by-step explanation:

Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!

5 and a half cans to be exact because you can’t get half a can

Answer this problem 6/7×1/2 =

Answers

Answer: 3/7

Explanation:

Since it’s multiplying fractions, you don’t need to find a common denominator, just multiply across.

6/7 * 1/2 = 6/14 = 3/7

The value of the equation is A = 3/7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 6/7

Let the second number be represented as q

The value of q = 1/2

The value of A = p x q

Substituting the values in the equation , we get

A = ( 6/7 ) x ( 1/2 )

On simplifying the equation , we get

A = ( 6/14 )

Divide by 2 on numerator and denominator , we get

A = 3/7

Therefore , the value of A is 3/7

Hence , the equation is A = 3/7

To learn more about equations click :

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question 132 .. .. .. .. ..

Answers

Answer:

∠LOM is 48°

Step-by-step explanation:

∠MOL+∠MON=180°

6x°+12°+7x°-92°=180°

13x°-80°=180°

Add 80° to both sides

13x°=260°

Divide both sides by 13

x°=20°

Plugging x° into the equation for ∠LOM, we get:

7×20°-92°=

140°-92°=

48°

∠LOM is 48°

Choose the correct conversion of 25 grams to milligrams. A. 0.025 B. 0.25 C. 250 D. 25,000

Answers

Answer:25000 because 1 m is equal to 1000mm

PLEASE MARK ME AS BRAINLIEST

Use the linear combination method to solve this system of equations. What is the value of x? A. Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. B. Negative 1 C. 0 D. 1

Answers

Answer:

x=1 , y = -1

Step-by-step explanation:

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

Add the equations together

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

---------------------------

   -2.4 y = 2.4

Divide by -2.4

y = -1

Now find x

2.4x +1.2y = 1.2

2.4x +1.2(-1) = 1.2

2.4x -1.2 = 1.2

Add 1.2 to each side

2.4x -1.2+1.2 = 1.2+1.2

2.4x = 2.4

Divide by 2.4

x = 1

Answer:

x=1

Step-by-step explanation:


Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2

Answers

Answer:  (b) x = -2/3

Step-by-step explanation:

The vertical asymptote is the restriction on x.

The denominator cannot be equal to zero so that it the restriction.

Set the denominator equal to zero and solve for x to find the asymptote.

3x + 2 = 0

3x       = -2

 x       = -2/3

Are both 7 and -1/2 rational numbers? Why or why not?

Answers

Answer:

They are both rational numbers

Step-by-step explanation:

Rational numbers are terminated numbers, meaning that they have a definite end, even in decimal form. An irrational number is infinite; their decimal places go on forever (An example would be π).

Answer:yes

Step-by-step explanation:Any

Number which is in the form of p/q where both p and q are integers and q is not equal to 0 is called a rational number. -1/2 satisfies this hence it is a rational number. 7 can be written as 7/1 which also satisfies this hence it is also a rational number.

Hope it is clear and please mark me as Brainliest

(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
plz help

Answers

Answer:

99

Step-by-step explanation:

(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3

each term can be written as:

(a²- b²)/(a+b)= (a+b)(a-b)/(a+b)= a-b

so the sum will look as:

99 -98+ 98- 97 + 97- 96 + ... +2- 1= 99-1= 98

(all middle terms get cancelled leaving only 99 and -1 in the equation)

Find the area of a circle with diameter of 10 cm. Let pi = 3.14​

Answers

Answer:

A = 78.5 cm^2

Step-by-step explanation:

The diameter is 10 so the radius is 1/2 of the diameter

r =1/2d = 1/2(10) = 5

The area of a circle is

A = pi r^2

A = 3.14 (5)^2

A = 78.5 cm^2

Why might Alexandria choose a local movie theater when she could see the same movies for less at a corporate establishment? A:getting the lowest price on theater tickets is most important to her B:she prefers to support local businesses ,even at an added cost C:she values lower prices more than support of local business D:The movie ticket cost too much at the corporately-owned theater

Answers

Answer: B: she prefers to support local businesses, even at an added cost

Step-by-step explanation:

A sequence defined recursively by the formula f(n+1) = -2f(n) . the first term of the sequence is -1.5 what is the next term in the sequence Search Results Web results

Answers

Answer: hi the answer is 3

Step-by-step explanation:

On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 4). Function g (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.5) and goes through (1, negative 4).
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis?

g(x) = Negative two-fifths(10)x
g(x) = Negative two-fifths (one-tenth) Superscript x
g(x) = Two-fifths (one-tenth) Superscript negative x
g(x) = Two-fifths(10)-x

Answers

Answer:

g(x) = Negative two-fifths(10)x

Step-by-step explanation:

In order to reflect a function over the x-axis, you have to multiply the function by minus one.

Given the function:

f(x) = 2/5(10)^x

Its reflection over the x-axis is:

-f(x) = -2/5(10)^x = g(x)

Answer:

answer is A

Step-by-step explanation:

Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3

Answers

Answer:

x + y ≥ 3

x + y ≤ 3

Step-by-step explanation:

In the picture attached, the problem is shown.

The solution to the system:

x + y ≥ 3

x + y ≤ 3

is the line x + y = 3

In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.

Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.

Answers

Answer:

The y-intercept would be 6.25

Step-by-step explanation:

I found this by taking the two points and making it into a y = mx + b line.

Answer:

(0,3)

Step-by-step explanation:

We can use the slope-intercept form to find the y-intercept.

First, we need to find the slope of the line.

We are given the points (-1,7) and (1,-1).

[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]

The slope is -4.

Slope-intercept is [tex]y=mx+b[/tex].

We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.

I will use (-1,7):

[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]

The line's equation is [tex]y=-4x+3[/tex].

Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).  

The
is calculated by putting the data in
order and selecting the middle value.
The
is the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
is the sum of the data divided by
the number of data values.

The answer choices are mean, median, Mode, range.

Answers

Answer:

median, mode, range, mean

Step-by-step explanation

the median is found by putting the data in order and selecting the middle value

the mode is the value that occurs the most often

the range is the difference between the greatest and least value

and the mean is the sum of all the values divided by the number of values

Answer:

The  ✔ median   is calculated by putting the data in order and selecting the middle value.

The  ✔ mode   is the data value that occurs the most in a set of data.

The  ✔ range  is the difference between the maximum and minimum values of a data set.

The  ✔ mean  is the sum of the data divided by the number of data values.

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is 4.4.

The median of the data is  4 .

The mode of the data is  2 .

The range of the data is  7 .

Step-by-step explanation:

Just took the test from E D G E N U I T Y....

hope this helps :P

Write the following word phrase as an algebraic expression:

y less than the product of 3 and z.

Answers

Answer:

3z-y

Step-by-step explanation:

y less than the product of 3 and z

= y less than 3 into z

= y less than 3z

= 3z - y

Answer:

3z-y

Step-by-step explanation:

y less than the product of 3 and z

= y less than 3 into z

= y less than 3z

= 3z - y

Si Luis paga 1546 centavos de los 1290 dólares que debía ¿cuánto le falta pagar?

Answers

Luis debia 12900 centavos y paga 1546 centavas entonces el todavía debe 11354 centavos

14. Which of the following is the measure of QRS?
S
Q
R

Answers

Answer: B. 90ᴼ

Step-by-step explanation:

QRS is a right angle. Right angles always have a measure of 90ᴼ

Answer:

B

Step-by-step explanation:

Right angle is  90

the value of x when y=16

Answers

Answer:

3/4

Step-by-step explanation:

Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?


Answers

Answer:

Choice D

Step-by-step explanation:

[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]

Hope this helps!

Cubic feet would be volume.

Volume = length x width x height

Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.

Choose the correct conversion of 42 grams to milligrams. A. 0.042 B. 0.42 C. 420 D. 42,000

Answers

Answer:

42,000 mg

Step-by-step explanation:

multiply the mass value by 1000

42K thats all--------------------

Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.
What is the sample space for Taylor’s calculation?

Answers

Answer:

{4, 5, 6}

Step-by-step explanation:

I'm assuming the die has the numbers 1 - 6 on it. Out of the numbers 1-6, the only numbers greater than 1 and 3 are 4, 5, and 6.

The chef in a restaurant makes a large kettle of soup each day. The restaurant sells the soup in different-sized bowls.

At 7 p.m the kettle contains 20 3/8 cups of soup. A server scoops 5/8 cup from the kettle into a small bowl. How many cups of soup are left in the kettle?

Answers

Answer: 79/4

Step-by-step explanation:

The kettle contains 20 3/8 cups of soup = 163/8 cups

A server scoops 5/8 cup from the kettle

So,

163/8 - 5/8 = 158/8 = 79/4

A baseball team has won 7 less than 4 times
as many games as it has lost. It has lost n
games, so it has won 4n - 7 games.
If n is 26, what is 4n – 7?

Answers

Answer:

4n – 7 = 97 if n = 26

Step-by-step explanation:

Problem statement :  If n is 26, what is 4n – 7

To solve this problem we will substitute 26 in place of n in 4n-7

Solving it

4*26 - 7

=> 104 -7 = 97

Thus, number of games won by the team is 97.

Calculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12

a. mean = 14.75, median = 15 mode = 16

b. mean = 15, median = 16, mode = 16

c. mean = 14.889, median = 16, mode= 16

d. mean =15, median =15.5, mode = 16

Answers

Answer:

d.mean =15, median =15.5, mode = 16

Step-by-step explanation:

hello,

to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.

to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.

last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.

hope this helped!

The correct answer to this is D I forgot how to do this but I remember what mean median and mode are

Claculate the height (x) of the tree.
Round your answer to the nearest foot and enter your answer
without units.

Answers

Answer:

50√3/3

Step-by-step explanation:

30-60-90 triangle

50:x = 2sqrt3 : 2

50*2 =100

100/2sqrt3 = ​3

​50√

​3

Please mark me brainiest..

​​

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Can somebody help me with this one. It says use the vertical line test to determine which graph represents a function

Answers

Answer:

Only option C shows a function

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.

In option A, a vertical line would cross two values, so it is not a function.

The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.

Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.

Pls help summer homework :D C:

Answers

Answer:

C) None of the above

Step-by-step explanation:

Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.

HELLLLPPP MEEEEE PLEASEEEE Let g(z) = -3z-1. Find the following value. g(z+h)

Answers

Answer:

g(z-1)

Step-by-step explanation:

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