Which polynomials are prime? Check all that apply. 15x ^ 2 + 10x - 9x + 7 20x ^ 2 - 12x + 30x - 18 6x ^ 3 + 14x ^ 2 - 12x - 28 8x ^ 3 + 20x ^ 2 + 3x + 12 11x ^ 4 + 4x ^ 2 - 6x ^ 2 - 16

Answers

Answer 1

Answer:

15x2+10x-9x+7

8x3+20x2+3x+12

11x4+4x2-6x2-16

Step-by-step explanation:

Answer 2

The prime polynomials are;

⇒ 15x² + 10x – 9x + 7

⇒ 8x³ + 20x² + 3x + 12

⇒ 11x⁴ + 4x² – 6x² – 16

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

There are some polynomials.

Now,

Evaluate all options in order to check that the polynomials are prime or not as;

Since, The polynomial is called a prime polynomial if the polynomial has not lower degree factors.

1). 15x² + 10x – 9x + 7

15x² + 10x – 9x + 7 = 5x(3x + 2) - (9x - 7)

Thus, This polynomial can not be factored into lower degree polynomial. Hence, it is a prime polynomial.

2). 20x² - 12x + 30x - 18

20x² - 12x + 30x - 18 = 4x (5x - 3) + 6 (5x - 3)

                                = (4x + 6) (5x - 3)

Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x³ + 14x² - 12x - 28

6x³ + 14x² - 12x - 28 = 2x² (3x + 7) - 4(3x + 7)

                               = (2x² - 4) (3x + 7)

Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x³ + 20x² + 3x + 12

8x³ + 20x² + 3x + 12 = 4x² (2x + 5) + 3 (x + 4)

                                = (4x² + 3) (2x + 5)

Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x⁴ + 4x² – 6x² – 16

11x⁴ + 4x² – 6x² – 16 = x² (11x² + 4) - 2 (x² + 8)

Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

Therefore, The prime polynomials are;

⇒ 15x² + 10x – 9x + 7

⇒ 8x³ + 20x² + 3x + 12

⇒ 11x⁴ + 4x² – 6x² – 16

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Related Questions

What is the absolute value of -62/3

Answers

Answer:

Step-by-step explanation:

The absolute value is 62/3

2. help me i will give you brainliest

Answers

Answer:

B

Step-by-step explanation

If you do a squared plus b squared you’ll get c squared. It the Pythagorean theorem. It’s really easy the answer is 39

The radius of a circle is?

Answers

It is measurement of the line from the perimeter to the center.

Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18
tickets for $82.00. How many adults ticket did they buy?
Write an equation

Answers

82/5=16r2 that is the answer so the brought 16 adult tickets

what is the median in the box plot ? 50 60 70 80 90 100​

Answers

Answer:Median

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Step-by-step explanation:

The median should be 80

ILL GIVE U BRAINLYIST

Answers

Answer:

I dont know much how to do, Im sorry, But this is the formula

Step-by-step explanation:

In order to find the Volume of a Composite Solid

You have to multiply the whole base area by the height.

please do these asap

Answers

Answer:

1=5.           18= 2         35=-2.       52=-6

2=9.           19= 11.       36=-1.       53=6

3=6.           20= 18      37=-6.       54=-1

4=10.          21=12.      38=-3.       55=-3

5=10.          22=16.     39=-7.        56=1

6=13.          23=11.       40=-12.     57=-3

7=10.          24=10.      41=-8.         58=24

8=2.            25=20.     42=-1.          59=3

9=6.            26=5.       43=-5.          60=46

10=4.          27=17.       44=-5

11=10.          28=14.      45=-1

12=8.          29=31.      46=-6

13=8.           30=16.     47=-1

14=14.          31=-1.       48=-4

15=7.            32=-4.     49=-13

16=9.            33=-4.     50=-16

17=4.            34=-5.      51=8

Answer:

1. x = 5

2. x = 9

3.  x = 6

4. x = 4

5. x = 2

6. x = 13

7. x = 4

8. x = 2

9. a = 6

10. d = 4

11. c = 4

12. y = 8

13. u = 8

14. p = 14

15.  t = 7

16. x = 9

17. y = 4

18. g = 2

19. t = 11

20. x = 18

21. p = 12

22. k = 10

23. t = 11

24. h = 2

25. j = 10

26. x = 5

27. p = 11

28. r = 4

29. m = 13

30. k = 16

31. c = -1  

32. y = -4

33. u = -4

34. p = -5

35. t = -2

36. x = -1

37. y = -6

38. g = -3

39. t = -7

40. x = -12

41. p = -8

42. k = -1

43. t = -5

44. h = -5

45. j = -5

46. x = -12

47. p = -11

48. r = -14

49. a = -31

50. k = -96

51. p = -8

52. k = -6

53. t = 6

54. h = 7

55. j = -3

56. x = -3

57. p = -13

58. r = 14

59. a = -7

60. k = -34

please brainliest this took forever

:)))

Joe sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Joe made $20 at the bake sale. How many cookies did Joe sell?

Answers

Answer:

16 cookies

Step-by-step explanation:

20/1.25=16

You take the total cost and divide it by the individule cost

Answer: Joe sold 5 cookies

Step-by-step explanation:

If you do the multipaction you will know that 2.50 x 5 = 12.50 and then you would have 5 more baked goods so then you would multiply 1.50 x 5 which equals 7.5 which when you add together equals a total of 20

need help pls and thank you :D

Answers

Answer:

1st blank : 11

2nd blank : 4

Step-by-step explanation:

11 x 7/11 x 4

helpppp me on thisss

Answers

Answer:

B

Step-by-step explanation:

3600/30/16=15/2=7 1/2

pretty sure the answer is b

Lisa added
4 7/15 and 5 2/5 to get a sum of 10 2/15.
Which of the following explains whether her answer is reasonable?

A.
No; 7/15and 2/5 are both less than 1, so the sum has to be less than 10.

B.
No; 7/15 and 2/5 are both less than 1/2, so the sum has to be less than 10.
C.
No; 7/15 and 2/5 are both greater than 1/2, so the sum has to be less than 10.

D.
Yes; 7/15 and 2/5 are both greater than 1/2, so the sum has to be greater than 10.

Answers

Answer:

B

Step-by-step explanation:

i did it

8.
Solve for x, then find the measure of the angle given:
Show all work!
5x
N
M
50)
(3x
m 2MPQ

Answers

Answer:

x = 25

[tex] m\angle \: MPQ = 125 \degree [/tex]

Step-by-step explanation:

[tex]5x \degree = (3x + 50) \degree \\(corresponding \:\angle s) \\\\ 5x = 3x + 50 \\ \\ 5x - 3x = 50 \\ \\ 2x = 50 \\ \\ x = \frac{50}{2} \\ \\ x = 25 \\ \\ m\angle MPQ = (3x + 50) \degree \\ \\ m\angle MPQ = (3 \times 25 + 50) \degree \\ \\ m\angle \: MPQ = (75 + 50) \degree \\ \\ m\angle \: MPQ = 125 \degree \\ \\ [/tex]

HELP ME PLEASE BRO. Find the value of x and the length of each side.

Answers

Answer:

x=2 unless I messed up somewhere w this chingadera

what does 6+9 equal all together

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6+9 is equal to fifteen. I don't really know how to explain it, its just adding 6 to 9.

Caleb has read 17 more books than his friend Liana. Write an equation that represents the relationship between n, the number of books Caleb has read, and p, the number of books Liana has read.

Enter the correct answer in the box.

Answers

Answer:

n=p+17

Step-by-step explanation:

n=p+17

Answer: p + 17 = n

Step-by-step explanation:

(17x - 23)
(8x - 4)
-(3x + 17)
Find the value of x.
0 A 6
B 79
O C 44
OD 7

Answers

Answer:

B

Step-by-step explanation:

Hope this Helped! Please tell me if I'm wrong!

Answer:A

Step-by-step explanation:

What is the value of x in the triangle shown

A. 116
B. 57
C. 19
D. 123

Answers

Answer:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

Please help with this quick

Answers

Answer:

2 x 1 + 3 = 5 or 2 x 1 + 3

that should be the answer

Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $13,950?

Answers

Answer:

it will take 14 years approximately

Step-by-step explanation:

To get this, we use the compound interest formula

We have this as:

A = P ( 1 + r/n)^nt

where ;

A is the amount after the stipulated time = 13,950

P

is the amount deposited = 6,700

r is the rate = 5.2% = 5.2/100 = 0.052

n is the number of times interest is compounded yearly = 4 (quarterly is every 3 months)

t is what we want to calculate

13,950 = 6,700 ( 1 + 0.052/4)^4t

2.082 = 1.013^4t

ln 2.082 = 4t ln 1.013

ln 2.082/ln 1.013 = 4t

56.78 = 4t

t = 56.78/4

t = 14 years

Answer:

14  

Step-by-step explanation:  

I got it right  

A right triangle has a leg that measures 15 ft and the hypotenuse measures 24 ft. What would the
length of the missing leg be to the nearest whole number?

Answers

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

[tex]15^{2} +x^{2}=24^{2}[/tex]

Then you square the numbers that you currently have:

[tex]225+x^{2}=576[/tex]

Then subtract 225 from both sides to isolate the x:

[tex]x^{2} =576-225[/tex]

This gives you the equation:

[tex]x^{2} =351[/tex]

Then take the square root of both sides which gives you:

[tex]x=18.7349939952[/tex]

Then round to the nearest whole number which gives you x=19

i need help with this question please​

Answers

Answer:

its cruked i dont see it

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

the real answer is 1107.5 ft  

3

Step-by-step explanation:

Volume of Cone:

V=\frac{1}{3}\pi r^2h

V=  

3

1

​  

πr  

2

h

\text{Find radius:}

Find radius:

r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6

r=  

2

diameter

​  

=  

2

17.2

​  

=8.6

h=14.3\hspace{40px}r=8.6

h=14.3r=8.6

Needed information

V=

V=

\,\,\frac{1}{3}\pi r^2h

3

1

​  

πr  

2

h

V=

V=

\,\,\frac{1}{3}\pi (8.6)^2(14.3)

3

1

​  

π(8.6)  

2

(14.3)

Plug in

V=

V=

\,\,1107.54545168

1107.54545168

Evaluate in calculator

V\approx

V≈

\,\,1107.5\text{ ft}^3

1107.5 ft  

3

c. Write the inequality that is shown on the number line.

Answers

Answer:

-3< x ≤ 4

Step-by-step explanation:

There is an open circle at -3, so -3 is not included

There is a closed circle at 4, which means 4 is included

The line is between which means x is between

-3 is less than x which is less than or equal to 4

-3< x ≤ 4

This type of graph is called a segment.

To write the inequality, read the segment from left to right.

We would start with the endpoint on the left which is a -3,

our variable x would be in the middle, and we would finish

things off with the endpoint on the right, which is 4.

Since we have an open dot at -3, we use a less than

sign between the -3 and the x and since we have a closed at 4,

we use a less than or equal to sign between the x and 4.

When representing a segment by reading it from left to right,

you will only use less than or less than or equal to between the parts.

So the solution for the inequality is read {x:  -3  <  x  ≤  4}.

What percentage of each shape is shaded?
guys someone help please

Answers


50% is shaded.......

The area of a rectangle is 56 square yards. Its length is 2 yards more than three times its width. Find its dimensions

Answers

Its a quadratic. Since x cant be a negative number i used the x=4 answer to plug into the length and width

The width is 4 and length is 14 yards

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area of rectangle= 56 square yards.

let the width be x.

So, length = 3x+ 2

So, Area of rectangle= 56 square yards.

length x width = 56

x(3x+2 )= 56

3x² + 2x -56= 0

3x² +  -56= 0

3x( x - 4 ) + 14 ( x - 4) = 0

(3x+ 14) (x- 4) = 0

x= 4, -14/3

Hence, the width is 4 and length is 14 yards.

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Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal places if necessary. 100, -40, 16, -6.4, The Common Ratio The next three terms are

Answers

Answer: The next three terms =2.56, - 1.024 and 0.4096

Step-by-step explanation:

Common Ratio of a Geometric sequence, R is calculated as

=a2/a1 = -40/100=-0.4

or a3/a2=16/ -40 = -0.4

such that the next three terms are

5th term =  -6.4 x -0.4=2.56

6th term= 2.56 x -0.4 =-1.024

7TH term= -1.024 x -0.4=0.4096

put the following equation of a line into slope intercept form, simplifying all fractions.

Answers

Answer:

16y

Step-by-step explanation:

In the past month, Kaitlin rented 1 video game and 4 DVDs. The rental price for the video game was $2.40 The rental price for each DVD was $3.70 What is the total amount that Kaitlin spent on video game and DVD rentals in the past month?

Answers

Answer:

$2.40 for the video game and $14.8 for the DVDs

Step-by-step explanation:

1 video game = $2.40

4 DVDs = $14.8

$3.70 x 4 = $14.8

PLEASE I WILL GIVE YOU BRAINLIEST JUST HELP ME I LOVE YOUUUUUUUU

Answers

Answer:

x=30

Step-by-step explanation:

90+130+x+10+x+x+x=360

230+3x=360

3x=90

x=30

PLEASE ANSWER FAST


What is the value of x in the equation 3x - 5= - 2 + 9 ?

Answers

When doing this you need to cancel out the whole left side and then X=4
The answer would be x equals 4
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