What are actual roots of FX according to the rational root theorem The following are potential roots of FX 2x 2 2x 24 4 3 2 3 4?

Answers

Answer 1

All the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12 are 3/4 and -4/5.

We have the given polynomial:

f(x) = 20x4 + x3 + 8x2 + x - 12

All potential polynomial roots are represented by rational numbers, according to the Rational Root Theorem:

x = a/b

Where a is a factor of a constant term

b is the factor of coefficient of leading term

From the given polynomial:

-12 is the constant term and 20 is the coefficient of leading term

The possible factors of -12 are ±1, ±2, ±3, ±4, ±6, ±12

The possible factors of 20 are ±1, ±2, ±4, ±5, ±10, ±20

So the rational roots = (±1, ±2, ±3, ±4, ±6, ±12)/ (±1, ±2, ±4, ±5, ±10, ±20)

Solve for x when the given function is equal to zero

20x4 + x3 + 8x2 + x - 12 = 0

(4x - 3)(5x + 4)(x2 + 1) = 0

So we get:

4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0

x = 3/4, x = -4/5, x =1, x = -1

Hence, the rational roots are x = 3/4, x = -4/5.

To learn more about rational roots,

visit; brainly.com/question/18514997

#SPJ4

Answer 2

We have the given polynomial:

f(x) = 20x4 + x3 + 8x2 + x - 12

x = a/b

b is the factor of coefficient of leading term

-12 is the constant term and 20 is the coefficient of leading term

The possible factors of 20 are ±1, ±2, ±4, ±5, ±10, ±20

So the rational roots = (±1, ±2, ±3, ±4, ±6, ±12)/ (±1, ±2, ±4, ±5, ±10, ±20)

Solve for x when the given function is equal to zero

20x4 + x3 + 8x2 + x - 12 = 0

(4x - 3)(5x + 4)(x2 + 1) = 0

4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0

x = 3/4, x = -4/5, x =1, x = -1


Related Questions

john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month

a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode

Answers

There is not enough information to give an answer you do not inform us of how much money needs to be put into this pension fund. That information is needed to solve.

I need major help pls help

Answers

Answer:

No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in

Step-by-step explanation:

It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.

A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since

24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.  

576 + 256 ≠ 900, since the left side is 832 and the right side is 900

It would be more correct if the width is 18 since 576 + 18^2 = 900

PLEASE HELP ME I WILL MARK BRAINLIEST (ITS DUE IN A HOUR)

Answers

its b/13=5 and then to solve you multiply both sides by 13 to get b=65

so 65 bean bags

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text

Answers

Complete question :

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text. The time spent picking blueberries

Answer:

44 minutes

Step-by-step explanation:

Given that :

Start time = 1:37 pm

End time = 2:21 pm

The time difference is obtained by subtracting the start time from the end time :

. End time - start time

2:21 pm - 1:37 pm

From 1:37 pm to 2 pm = 23 minutes

From 2 pm to 2:21 pm = 21 minutes

Total minutes = (23 + 21) minutes = 44 minutes


I need help with my homework pls gotta one hour to turn in ​

Answers

Answer:

12 brown

Step-by-step explanation:

Answer:

Blue: 3. Green: 25. Brown: 12

Step-by-step explanation:

Total: Child: 36

         Teenager: 14

          Adult: 40

          Total: (On the bottom) 37, 25, 28

          So 90 people in total!

Please answer with explanation

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Line is passing through the points (-3, - 5) and (4, 9)

Slope of the line (m) [tex] =\frac{-5-9}{-3-4}=\frac{-14}{-7}=2[/tex]

Equation of line in given as:

[tex]y - 9 = 2(x - 4) \\ \\ y - 9 = 2x - 8 \\ \\ y = 2x - 8 + 9 \\ \\ y = 2x + 1[/tex]

Juanita is a basketball player who makes
75
%
75%75, percent of all free-throws she attempts. We can assume that the results of her free-throw attempts are independent from each other.
Which of the following choices are binomial random variables?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Juanita shoots a series of free-throws until she makes
5
55 free-throws. Let
S
=
S=S, equals the number of shots it takes.

(Choice B)
B
Juanita shoots a series of free-throws until she makes a free-throw. Let
T
=
T=T, equals the number of shots it takes.

(Choice C)
C
Juanita shoots a series
5
55 free-throws. Let
M
=
M=M, equals the number of free-throws she makes.

Answers

Answer: Juanita shoots a series 5 free-throws. Let M = the number of free-throws she makes.

Step-by-step explanation: Khan

PLEASE HELP brainly will be given!

Answers

Answer:

SSS

Step-by-step explanation:

the corresponding sides of the triangles are proportional to each other

The lengths of nails produced in a factory are normally distributed with a mean of 4.77 centimeters and a standard deviation of 0.06 centimeters. Find the two lengths that separate the top 9% and the bottom 9%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.[tex]^{}[/tex]ly/3a8Nt8n

help plzzzzz! it's math and I'll give 30 points ​

Answers

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Hi there,

In order to solve this problem, you have to know the Pythagorean Theorem:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).

⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]

⇒ 45 = [tex]c^{2}[/tex]

⇒ c = [tex]\sqrt{45}[/tex]

Hope this explanation helps. Cheers.

The Jackson's are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and a 5-year loan from two different lenders. complete each table to calculate the total repayment and interest paid for each loan offer.

Answers

Answer:

1

-

year term; $3,666.60

term 1 year total repayment : $35,953.20 Interest paid 953.20

term 5 year total repayment $39,619.80 Interest paid 4,619.80

Step-by-step explanation:

AYO HELP ME SHAWTY PLEASE THANKS IG OR SUM WHATEVER

Answers

Answer:

the answer is D undefined slope

Answer:

UNDEFINED SLOPE

Step-by-step explanation:

mark brainliest if u want

What is the average length of one of the seeds that the students measured

Answers

Any more information?

 classify the triangle below select all that apply terms that apply

Answers

Answer:

Right

Step-by-step explanation:

The measures of the exterior angles of a pentagon are x°, 3x° 5x°, 7x°, and 8x°. Solve for x.

Answers

Answer: x=15

Step-by-step explanation: x+ 3x+ 5x+ 7x+ 8x=360

24x=360

24/24 = 360/24

what expressions are equivalent to 12x-42 (choose all that apply)

6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)

Answers

6(2x-7) and 2(6x-21)
Both equals to 12x-42
6*2x=12x & 6*(-7)=-42 –> 12x-42
2*6x=12x & 2*(-21)=-42 —> 12x-42

HELP PLEASE
find the end behavior:
f(x)=2(1/3)^x-2

Answers

Answer:

Not a polynomial

Step-by-step explanation:

The leading coefficient test requires a polynomial

Find the area of the figure

Answers

Answer:

41 ft

Step-by-step explanation:

math

Stu invested $700 in a Cd. if the CD grows at a rate of %6 per year compounded annually, when will he double his money ?

Answers

Answer:16.66 repeating years

Step-by-step explanation: take 6% of 700 the divide 700 by that number to get how many years until he doubles his money then check by multpling 42 * 16.66 repeating

8.1.26
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
x2 + 1 - 2x
Write the polynomial in standard form.

Answers

Answer:

(x-1)(x-1)

Step-by-step explanation:

What is the volume of this composite solid?

Answers

Answer:

B

Step-by-step explanation:

I think

A squirrel burrowed 12 holes in 3 minutes. How many holes could the squirrel burrow in 12 minutes?

Answers

Answer:

48 holes

Step-by-step explanation:

We know that in 3 minutes, a squirrel managed to bury 12 holes. Now, what if there were 12 minutes?

To solve this, we need to see the increase in minutes and implement the same thing to the holes.

So how do we get 3 minutes to 12 minutes? By multiplying 3 by 4, now do the same for the amount of holes the squirrel burrowed in 3 minutes.

3min * 4 = 12min

12 holes * 4 = 48 holes

Given the following perfect square trinomial, fill in the missing term
4x2 + ___x + 49

Answers

Answer:

Below.

Step-by-step explanation:

Taking the square roots of the 2 given terms we write it as a binomial

(2x + 7(2x + 7)

This = 4x^2 +  14x + 14x + 49

= 4x^2 + 28x + 49

So the missing number is 28.

i just give a question

Which one of the following expression is binomial?
2x+3y+z
2x+3
2x
x+y+z
which one

Answers

2x +3 is the binomial
The second one is right
2x+3 is answer

The perimeter of a regular 6 -sided figure is 30 units, and the length of each side is x + 1 units.
What is the value of x?

Answers

Answer:

x = 4

Step-by-step explanation:

since each side is equal to x + 1 and there are 6 sides, to get x alone, you have to subtract 1, six times from the perimeter.

1 × 6 = 6

30 - 6 = 24

then divide that by the number of sides (6)

24 ÷ 6 = 4

x = 4!

A circle with a radius equal to 12 feet.

Answers

Answer:

What do you mean a radius equal to 12 feet? What is your question?

Step-by-step explanation:

Jose went shopping for a new pair of pants. Sales tax where he lives is 8%.
The price of the pair of pants is $34. Find the total price including tax. Round
to the nearest cent.

Answers

Answer:

36.72

Step-by-step explanation:

if I'm wrong could you please tell me? good luck and if you have any other question you can ask me bye.

The total price including tax is $37.

Given that,

Sales tax where he lives is 8%. The price of the pair of pants is $34.

Based on the above information, the calculation is as follows:

[tex]= \$34 \times (1+ 0.08)[/tex]

= $36.72

= $37

Learn more: brainly.com/question/17429689

What is this answer

Answers

Ok you can find out the answer I can see it right there try also to find it yourself I know you would find it
Its 2 my guy my friend


Mary and Carlos are each saving for new skateboards. So far, Mary has $9 saved
and earns $6 per hour babysitting. Carlos has $3 saved and can earn $9 per hour
working at his family's restaurant. After how many hours of work will Mary and
Carlos have saved the same amount and how much money will they both have?

Answers

Answer:

After 3 hours, both will have saved $21.

Step-by-step explanation:

determine what number should be in the box so that each equation is true and each equation has at least one negative number

Answers

Answer:

Step-by-step explanation:

Other Questions
How do I follow up on SSS sickness benefit application? PLEASEEE HELP READ THE TEXT AND ANSWERI WILL MARK YOU BRAINLISTT AND IF YOU ZOOM IN THE PIC ITS EASIER Kylie reads about two popular cell phone apps one app uses 1/2 of a phones storage space the other app uses 5/12 of a phone storage space Explain how Kylie can find the difference in the two storage space of the two apps without drawing a visual model What is the width of the rectangular area? newton high school is selling bag lunches for a field trip. the price of $3$ lunches is given to be $\$4.50$. tyler wants to know if he can afford to buy himself and $4$ of his friends lunch. if the price of each lunch is fixed, how much money does tyler need? HELP PLEASE PLEASE A recipe uses 5 cups of milk to make 25 servings. If the same amount of milk is used for each serving, how many servings can be made from one gallon? In addition to protecting your health, explain reasons you should not use any form of tobacco. The volume of a rectangular prism is 6x3 + 19x2 + 2x - 3and the height is x + 3. What is the area of the base of the prism? a broker-dealer has a marketing agreement with a local bank and has located offices in each of the bank's branches. if a bank customer makes an inquiry about mutual funds offered by the broker-dealer in the branch, which of the following statements are true? What are the 3 main types of sentences? The perez family and the smyth family are each taking road trips. The perez family travels at an average rate of 65 miles per hour and the smyth family travels at an average rate of 50 miles per hour. How far does each family travel after 6 hours?. Chapter 17 The Female Reproductive System what is the skeletopy, synotopy and holotopy of the lung? Which of the following is an example of social diversity? a. Age b. Religion c. Ancestry d. Race ___comand is used to print the active document or selected items: What is it called when a company issues its stock for the first time? Paragraph for thereI need help with it and cant think what to write with it the focus on neuroscience box described a study in which love-struck young adults underwent an fmri brain scan while they looked at a photo of their beloved or at a photo of a friend. the results of this study indicated: The equation s=1005m represents the relationship between the total score on Mr. Totten's algebra quiz, s, and the number of questions a student missed, m. Which statement describes the slope in this equation? why was shadrack in the hospital? what seems to be wrong with him? use a quote from the text in your answer. why was shadrack in the hospital? what seems to be wrong with him? use a quote from the text in your answer.