Which expression is a prime polynomial, x^3-1, x^2+1, x^3+1, x^2-1

Answers

Answer 1

Answer:

[tex]x^2+1[/tex] cannot be factored, thus it's a prime polynomial

Step-by-step explanation:

A prime number or expression cannot be factored in any factor different from 1 and the number or expression itself.

One of the following expressions is prime. The rest of them can be factored.

[tex]x^3-1[/tex] is the difference of two cubes. It can be factored as:

[tex]x^3-1=(x-1)(x^2+x+1)[/tex]

[tex]x^3+1[/tex] is the sum of two cubes. It can be factored as:

[tex]x^3+1=(x+1)(x^2-x+1)[/tex]

[tex]x^2-1[/tex] is the difference of two squares. It can be factored as:

[tex]x^2-1=(x-1)(x+1)[/tex]

[tex]\mathbf{x^2+1}[/tex] cannot be factored, thus it's a prime polynomial


Related Questions

wilma buys a new game that is priced at 43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase price of Wilma's game is what percentage of the original price?

Answers

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:

c edg

Step-by-step explanation:

Jane has LaTeX: 2\frac{1}{2}2 1 2 cups of sugar. A recipe calls for LaTeX: \frac{1}{4}1 4 cup of sugar. How many recipes can she make?

Answers

Answer:

THERE IS NO RESULTS IN MY MIND

Step-by-step explanation:

SORRY IF WE DID NOT ANSWER IT SAD.......

Where do you put the parentheses in this equation
9+5÷5+2
Value:2

I am not good at math and this is for my 5th grader

Answers

Answer:

here we go.....

Step-by-step explanation:

9+5 equals14 5 +2 equals 7

14 divided by 7 equals 2

hope you get it correct

The Census Bureau wants to conduct a survey to determine the percentage of adults that buy clothing online. How many adults do they need to survey in order to be confident that the sample proportion is in error by no more that 2 percentage points.

Answers

Answer and explanation:

Please find attached answer and explanation

HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?

Answers

Answer:

4.5 yards of fabric.

Step-by-step explanation:

In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide

13.41/2.98=4.5

4.5 yards of fabric

a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made

Answers

Answer:

648

Step-by-step explanation:

Volume of a cylinder =Pi× r²×h

volume of the cylinder before melted

v=Pi×18²×40

v=40715.04cm³

Volume of the smaller cylinder

v=Pi×2²×5

v=62.83

40715.04÷62.83

=648.019

=648 small cylinder can be made

find the value of 9+p when p=19​

Answers

Answer:

28

Step-by-step explanation:

9+19=28

The answer is 28 because 9+ 19 equals 28

I will give you 25 points help please

Answers

Answer:

horizontal 2 units to the right, vertical translation 3 units up, vertical stretch by a factor of 4

Someone plz help me with this I will mark you as brainlyest

Answers

(-2, -7), (-1,-4), (0,-1) (1,2)

All the Xs are the inputs and all the Ys are the outputs. (X,Y)

So I basically just used the Xs it gave us and then I put it in the function equation to solve for the outputs

what is -3/8 ÷ 7/12 help

Answers

Answer:

-9/14

Step-by-step explanation:

Have a good day <3

Answer:

-9/14

Step-by-step explanation:

-3/8 ÷ 7/12

Flip the second fraction and multiply

-3/8 x 12/7

You can cross-simplify

-36/56

-9/14

Hope this helped!

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?

Answers

Answer: y=1/4x - 2

Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.

Hope this helps,

Lacia :))

The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?​

Answers

Answer: 42

Step-by-step explanation:

The required perimeter of the regular hexagon is 42 m.

Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42

Thus, the required perimeter of the regular hexagon is 42 m.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2


can someone solve this please 5(5t + 1) = 25t – 7

Answers

It’s either no solution or just false depending on the answer choices you have

solving steps:
5(5t+1)=25t-7
25t+5=25t-7
5= -7

which is not true

g(x)=x^3
f(x)=(x+6)^3 -3
Ring to the equations above the graph of f(x) would be obtained from the graph of g(x) by translating the graph of g(x)

Answers

A, left 6 Units and down 3 units

Hope this helps

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold

Answers

Answer: 13 1/3 ounces

Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.

Answer:

answer is 0.85 repeat (a line over 5)

Step-by-step explanation:

all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer

Please help me, I am sorry that I’m so terrible at math

Answers

Answer:

x[tex]\leq[/tex]3

Step-by-step explanation:

hope this helps

Answer:

-6 <x< 3 or x<3, x<-6

Step-by-step explanation:

-18 < 4x +6 < 18

-18-6 <4x< 18-6

-24 <4x< 12

-24/4 <x< 12/4

-6 <x< 3

hope this help you

Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.

Answers

thats uhm hard how u do that

Answer:

If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.

Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Answers

Answer:

13/18

Step-by-step explanation:

See attachment

not sure need help ​

Answers

Answer:

0.0078 or 7.8*10^-3

Answer:

7.8 * 10 ^-3

Step-by-step explanation:

( 1.3* 10 ^-5) ( 6 * 10^2)

Multiply the numbers

1.3 * 6 = 7.8

Multiply the exponent terms, remembering we add the exponents, when we multiply

10 ^ -5 * 10 ^2 = 10 ^( -5+2) = 10 ^-3

Put them back together

7.8 * 10 ^-3

Since this is in scientific notation, we are don

Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. And you can just write the steps out also. Working on it now but really need help please asap. ​

Answers

Answer:

x = -3

Step-by-step explanation:

f(x) = x + 3

0 = x + 3

-x = 3

x = -3

How long before noon does written human history begin?

Answers

Answer:

I don't instead feed the question, but anyone older than 50 years id considered history.

Need a step by step answer please

Answers

Answer:

x=10

Step-by-step explanation:

x+2+x=22

combine like terms x + x to get 2x:

2x + 2 = 22

subtract 2 on both sides:

2x = 20

divide by 2 on both sides to isolate x:

x=10

Use the graph below to answer the following question:

What is the average rate of change from x = −4 to x = 1?
A.-3
B.-1
C.0
D.1

Answers

Answer:

The answer is B.-1

Step-by-step:

When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.p explanation:

Please someone explain how to solve for x.

Answers

Answer:

x =30

Step-by-step explanation:

We can use ratios to solve

18            20

--------- = ----------

18+27      20+x

Simplify

18            20

--------- = ----------

45         20+x

Using cross products

18 *(20+x) = 20*45

18 ( 20+x) = 900

Divide each side by 18

18 /18*(20+x) = 900/18

20+x =50

Subtract 20 from each side

20+x-20 = 50-20

x=30

Answer:

30

Step-by-step explanation:

to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30

2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?

Answers

Answer:

33.1 units

Step-by-step explanation:

The formula to find the sides of an shape when given vertices is

= √(x2 - x1)² + (y2 - y1)²

When we have:(x1, y1) and (x2, y2)

(-3, 1), (5, 1), (-3, 4), (5, 4)

For (-3, 1), (5, 1)

= √(5 - (-3))² + (1 -1)²

= √8² + 0²

= √64

= 8 units

For (5, 1), (-3, 4)

= √(-3 - 5)² + (4 - 1)²

= √-8² + 3²

= √64 + 9

= √73 units

For (-3, 4), (5, 4)

= √(5 - (-3))² + (4 - 4)²

= √8² + 0²

= √64

= 8 units

For (-3, 1), (5, 4)

= √(-3 - 5)² + (4- 1)²

= √8² + 3²

= √64 + 9

= √ 73 units

Perimeter of the Polygon:

=( 8 + √73 + 8 + √73) units

= 33.088007491 units

≈ 33.1 units

a + 4 = 6, when a = 2. true false open

Answers

True
Pls mark brainliest

Answer:

True.

Step-by-step explanation:

[tex]a+4=6[/tex]

[tex]a=2[/tex]

To see if the equation would be correct given the value of [tex]a[/tex], we have to substitute:

[tex]2+4=6[/tex]

[tex]6=6[/tex]

Since both sides of the equation are equal, the statement is true.

Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10

Answers

Answer:

C

Step-by-step explanation:

Commutative property means to add in a different order.

Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

Answers

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]

            [tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

On February 1, the balance in your account is $516.81. On July 1, you deposit $310.90. Your bank pays 6.25% interest.

Answers

Answer:   $879.44 is the answer i believe.

The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?

Answers

Answer:

9600/60 minutes = 9600/ 360 seconds = 26

Keep practicing :)

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

The reason is because you divide this number by 1,000 which gives you 9.6

9600 divided by 1,000= 9.6

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