Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.

Answers

Answer 1

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

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Related Questions

Evaluate the expression please.
Evaluate the expression.

3–

10÷

2+1

Answers

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Answer:

Step-by-step explanation:

Expert-Verified Answer

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Some useful tips to help you write a five-paragraph essay are:

Choose a topic

Make suitable claims

Make use of supporting details

Make use of rhetorical appeals

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Restate your main points

Conclude.

Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2


Answers

Answer:

the 3rd one is not linear

y= x to the 2nd power

The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?

A 7:15
B 7:30
C 7:45
D 8:00

Answers

Answer:

i think (C)

Step-by-step explanation:

hope this helps you

the smith family traveled 140 miles from winston salem to asheville they stopped at one rest area the diagram below shows their trip divide into equal segments

Answers

Answer:140 because you have to divided by 1

Step-by-step explanation:

6√21 ×√28
please show work :D

Answers

Answer:

84√3

Step-by-step explanation:

6√21√28

6√7√3√7√4

(6√7√3√7)(2)

(6*7)(√3)(2)

(42)(√3)(2)

84√3

[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]

Given the function below find f(-2).

f(x)=x2−3x+5

Group of answer choices

10

15

20

25

Answers

15
See picture attached

PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4

See in picture below

Answers

Answer:

See below

Step-by-step explanation:

As x approaches negative infinity, h(x) approaches negative infinity

As x approaches positive infinity, h(x) approaches negative infinity

I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.

A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number​

Answers

Answer:

The number = 45

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

10*x + y = 5(x + y)                        Start here: remove the brackets

10*x + y + 9 = 10y + x                   Subtract y and 10x from both sides

Using the first equation

10x + y = 5x + 5y

5x + y - 5y = 0

5x - 4y = 0

5x = 4y

y = 5/4x

From the second equation

9 = 9y - 9x

1 = y - x           Substitute y = 5/4 x

1 = 5/4x - x

1 = 1/4  x

x = 4

y = 5/4 * 4

y = 5.

What is the length of side a?

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

[tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

[tex] \sf16 + 9 = {a}^{2} [/tex]

[tex] \sf \: a {}^{2} = 25[/tex]

[tex] \sf \: a = \sqrt{25} [/tex]

[tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

I NEED ANSWER NOW PLEASE TELL ME THE ANSWER AND HOW YOU GOT IT I WILL MARK U AS BRAINLIEST IT DUE IN 5 MINS
(GIVE ME ALL THE ANSWERS)

Answers

Answer:          

1 is 42,256 =              

3 × 105

+ 0 × 104

+ 5 × 103

+ 4 × 102

+ 4 × 101

+ 4 × 100

       

2 is

4 × 104

+ 2 × 103

+ 2 × 102

+ 5 × 101

+ 6 × 100

3 is   9,905,482 =

9 × 106

+ 9 × 105

+ 0 × 104

+ 5 × 103

+ 4 × 102

+ 8 × 101

+ 2 × 100

Step-by-step explanation:

is this a dilation of 1/2 or a dilation of 2​

Answers

Answer:

The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP

Dilation of 2 because point P is 4 on the original and on the prime it’s 8. 4 x 2= 8

help stranger's ( ◜‿◝ )​

Answers

Answer:

what is the question in this picture

What is the value of the expression below?


(3 1/2 - 9 3/4) ÷ (-2.5)

Answers

Answer:

2.5

Step-by-step explanation:

3 1/2 - 9 3/4 =

3 2/4 - 9 3/4 = -6 1/4

-6 1/4 = -6.25 ÷ (-2.5) = 2.5

Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.

Answers

The value of given expression when x=-4 and y=4 is 1250.

The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].

We have to solve it for x= -4 and y = 4.

Now putting the value of x and y we get,

[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=1250[/tex]

Hence the value of given expression when x=-4 and y=4 is 1250.

For more details follow the link:

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Work out the surface area of this solid prism.
25cm
17cm
15cm
30cm
28cm
The diagram is not drawn to scale.
PLS HELPPP IM DYING

Answers

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

$20, $15,$10,$5. What is the range of allowance amounts?

Answers

Answer:

$15

Step-by-step explanation:

20-5= 15

Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.

Hope this helps :)

HELP THIS IS DUE TODAY!!!!!!!!

Answers

Answer:

the loop is going by 4

Step-by-step explanation:

the loop is going on by four

the equation of the line which passes through the point (0,5) and has a gradient of 4 is

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

HELP!!!!!
M list the sides of ABC in order from shortest to longest

Answers

Question:

M list the sides of ABC in order from shortest to longest

Answer:

Sum of angles in a triangle = 180

Angles A + B + C = 180

80 + 3x + 5 + 5x - 1 = 180

3x + 5x = 180 - 80 - 5+1

8x = 96

x = 96/8

x = 12

So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59

Angle A = 80, B = 41, C = 59

So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.

So from the smallest to biggest side:

AC < AB < BC

Arigatou gozaimasu!!

16 liters to fraction

Answers

Answer:

16 liters to a fraction would be 4.2 or 4 1/5

Step-by-step explanation:

16 liters = 4.22675 gallons

4.2 gallons = 4 1/5 gallons

1000 L= 1 KL

16 L = 0.016 KL

(Divide 16 by 1000 to convert.)

Hemp help help math

Answers

Answer:

1

Step-by-step explanation:

f(x) = y

that expression asks what y is when x = -2.

you can solve this by plugging in -2 for x in the function.

f(-2) = 3(-2) + 7

f(-2) = -6 + 7

f(-2) = 1

Answer:

1

Step-by-step explanation:

Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps

please help me asapppp

ty :D

Answers

Answer:

3x+5y-20

have a nice day

What forms of the following equation in?

y=5x−3

Answers

5x-y=3
Not sure if it’s correct
the equation appears to in slope-intercept form

for future reference, slope-intercept form is written as: y=mx+b
m=slope and b=y-intercept

what does 2y-x=-14 equal?

Answers

Answer:

x=2(y+7)

Step-by-step explanation:

2y−x=−14

Subtract 2y from both sides.

−x=−14−2y

The equation is in standard form.

−x=−2y−14

Divide both sides by −1.

x=2y+14

Then use the inverse property of distrubtion.

x=2(y+7)

or if you want to you can leave it as x=2y+14

Answer:

y=x/2-7

Step-by-step explanation:

Move x to the side with the constant and then divide.

1. -x from both sides

2. the divide by 2

it can also be written like

y=1/2x-7

Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.

Answers

Answer:

So the answer would probably be 4.8 feet?

Step-by-step explanation:

the sum of two numbers is 30. the difference one the two numbers is 4

Answers

Answer:

20+10 is 30 5x6 is 30

Step-by-step explanation:

so just add numbers to find 30

Answer:

first number is 17 and second number is 13

Step-by-step explanation:

let the numbers are x and y

if their sum is 30 and difference is 4

then

x+y=30     --------------1equation

x-y=4          -----------2equation

add both the equations,

2x=34

x=17

then  

put the value of x in 1equation,

x+y=30

17+y=30

y=30-17

y=13

then,

first number is 17 and second number is 13

8x - 60 less than or equal to 2 (5 - 3x)

Answers

Answer:

x less than or equal to 5

i think thats what u wanted

4.69 divided by 3.5 please help

Answers

Answer:

1.34

Step-by-step explanation:

Used a Calculator

Answer:

1.34

Step-by-step explanation:

4.69/3.5

=1.34

Here is your answerPlz mark me as brainliest

7 is a factor of
a 28
b 16
c 11
d 4

Answers

Answer:

a) 28

Step-by-step explanation:

3x - y = 23
2x + 3y = 8​

Answers

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

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