50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots

Answers

Answer 1

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Option 1. -3,-1,1,3 is correct option
Answer 2

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1


Related Questions

Hi, please help again lol

Answers

Answer:

?? No questions asked here

Mrs. O has $30 to give to students who are doing their best work so far today she has given 1/3 of the money away how much money does she have left?

Answers

Answer: $10

Step-by-step explanation: if helped pls leave a thanks <3

Answer:

$10 left

Step-by-step explanation:

1/3*30=10

Solve for the value of K

Answers

Answer:

k = 5

Step-by-step explanation:

The straight angle is 180º

The right angle is 90º

Therefor

(8k + 1) + 90 + 49 = 180

combine like terms

8k + 140 = 180

Subtract 140 from both sides

8k = 40

Divide both sides by 8

k = 5

Answer:

16.25

Step-by-step explanation:

4. What are deductions?

A.)the amount of money added to the gross pay for commission-based sales

B.)the amount of money included with tips

C.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

D.)incentives employees earn for the amount sold

Answers

Answer:

C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Step-by-step explanation:

Answer:

the answer is C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Tentukan Penyelesaian dari persamaan berikut

Answers

1. 3z + 11 = -28
3z = -39
z = -13

2. 3a - 1 = a + 9
3a - a = 10
2a = 10
a = 5

3. 2 (3p - 4) = 4p + 6
6p - 8 = 4p + 6
6p - 4p = 14
2p = 14
p = 7

4. 1/2x + 4 = 6
1/2x = 2
x = 2 * 2
x = 4

5. 2/3(6x - 9) = 1/4(4x + 12)
4x - 6 = x + 3
4x - x = 9
3x = 9
x = 3

Jayden needed gloves
and bought 2 packages
of gloves. There were 5
pairs in each package.
He added this to the 3
pairs of gloves he
already owned. How
many gloves did Jayden
now own?

Answers

Answer:

Jayden has 13 pairs of gloves.

Step-by-step explanation:

2 packages multiplied by 5 pairs = 10

10 pairs plus 3 pairs he already had

= 13 pairs of gloves total  

Is this a function?

Answers

Answer:

No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.

Step-by-step explanation:

Admission to a science museum is $22 for an adult. The cost for a child is five dollars less than the cost for an adult. What would be the total cost of admission for 12 adults and 15 children? Explain.

Answers

Adults: $22

Children: $22 - $5 = $17

22a + 17c = t

22(12) + 17(15) = t

264 + 255 = $519

The total cost of admission is $519.

Hope this helped!

ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8

Answers

Answer:

Below.

Step-by-step explanation:

Using PRT/100 = I, we can prove that x = 8.

=> 1000 x 0.65 x 8/100

=> 10 x 0.65 x 8

=> 6.5 x 8

=> £52

Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?

Answers

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]

Let's divide by 5 and play with the LHS of the first equation a bit:

[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.

[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]

x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f​

Answers

Answer:

[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]



Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.

Show your work for each way you find x.

Answers

Answer:

Step-by-step explanation:

plato answer

Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age

Answers

Answer:

Victoria is 4 years older than her neighbor

Step-by-step explanation:

V = x + 4

x = neighbors age

x + x + 4 < = 14...here is the inequality

2x + 4 < = 14.....this is just a simplified form of the inequality

not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14

2x < = 14 - 4

2x < = 10

x < = 10/2

x < = 5.....the oldest age of the neighbor is 5

(Hope this helps can I pls have brainlist (crown☺️)

Answer: 5

Step-by-step explanation:

Let x be the age of Victoria's neighbor.

Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.

The sum of their ages is no more than 14 years, which can be written as:

x + (x + 4) ≤ 14

Simplifying the inequality:

2x + 4 ≤ 14

2x ≤ 10

x ≤ 5

Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.

evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =

Answers

Answer:

h(4) = -1 ;   h(-5) = 1        h(0) = -9

Step-by-step explanation:

a)    h(x) = |-2x| - 9       Substitute x = 4

       h(4) = | -2 · 4| - 9

       h(x) = | -8| - 9

       h(4) = 8 - 9

       h(4) = -1

b)  h(x) = |-2x| - 9            Substitute x = -5

    h(-5) = |-2 · -5| - 9

    h(-5) = |-10| - 9

     h(-5) = 10 - 9

      h(-5) = 1

c)   h(x) = |-2x| - 9             Substitute x = 0

     h(0) = |-2 · 0| - 9

     h(0) = |0| - 9

     h(0) = 0 - 9

      h(0) = -9

     

one third of the result of three times a number that is increased by 12

Answers

Answer:

Step-by-step explanation:

1/3 (3x+12)

1/3×3x+1/3×12

x+4

A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above

Answers

Answer:

118.72

Step-by-step explanation:

I just used my calculator 0-0 hope this helped :)

The product of −2 and a number x is greater than 30. Whats the solution of the inequality.


Answers

Answer:  x < -15

Step-by-step explanation:

(-2)*(x) > 30

x < -15  The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).

Anyone know what this truly means?

Answers

Answer:

The person is saying that everyone has their own view of God.

A example is...

"I believe God isn't real"

That is someones view on God.

1) For each diagram, decide if y is an increase or a decrease relative to x. Then determine how much it increased or decreased.​

Answers

Answer:

i dont know

Step-by-step explanation:

Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2

Answers

D is the correct answer

Hurry I will give brainlyest!!!!

What are the factors of this expression?

34xy



Drag all of the factors of the expression into the box.

Factors

3/4 -1 3 4 x y

Answers

34, x, y are factors of this expression.

- BRAINLIEST answerer

YES I AM GIVING A BRAINLIST :D
Which of the following systems of equations has exactly one solution?

Answers

Answer:

y=10x-2x ................

1 2/5m-3/5(2/3m+1) pls help me I need to simply it

Answers

In fraction form: -(3/5)

Decimal form: -0.6

Hope this helps!

find the length of x in the figure below. round your answer to 3 significant figure

Answers

Answer:

where is the figure? or tell us the area and width of the figure

Question 4 of 30
Find the domain of the graphed function.

Answers

Answer:

A is the answer

Step-by-step explanation:

x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)

Answers

Answer:

A. (-5,3)

Honestly, that is pretty much it and uh.Yeah

Need help with this one too plzzz

Answers

Answer:

0.83

Step-by-step explanation:

volume = length*height*width

1500=L*30*60

1500=1800L

1500/1800 = 0.83

length = 0.83

Solve. 10−2x=3x+7
x=3/5
x=17/5
x = 17

Answers

Answer: x = (3/5)

Step-by-step explanation:

10−2x=3x+7

3 = 5x   [Consolidate terms]

x = (3/5)

PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR

Answers

question 1. is 2

question 2 -13

Answer: Question 2 answer is 4        Question 3 answer is 12

Step-by-step explanation:

Question 2: 42*4=168

43*5=210

help algebra 2 100 points if you answer right

Answers

the second one is the answer <i think>

[tex]\\ \tt\hookrightarrow (f+g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)+g(x)[/tex]

[tex]\\ \tt\hookrightarrow 4x^2-5x+3x^2+6x-4[/tex]

[tex]\\ \tt\hookrightarrow 7x^2+x-4[/tex]

Option B is correct

Other Questions
pls help me solve the missing answers thanks! 16. The quotient of 7 and a number x 2 10 x + 5what is the answer What figurative language device was used to describe Teddy and Trevors relationship? Explain how it applies and cite evidence to support your response. Give four characteristics of forces. We will pay a toll on this road.In which sentence does the word tollmean the same thing as in the sentenceabove?A The bell will toll in a few minutes.B The heat took a toll on the runners.C Do you have a quarter for the toll?D Overeating takes a toll on a person. A business is having trouble keeping up with the competition. They cannotrespond to their customers like the competition. Which type of system willlikely be able to help them solve this issue?O A. Management communication systemB. Management information systemO C. Transaction processing systemD. Decision support system My homie got a 2010 dodge charger R/T and I got a 2016 dodge charger SXT. Which car do you think is better? Please HELP!!!!PLSLSLSLSS Hi can someone plz help me!! Im behind on this and I really need help on it. I will try to mark as brainliest The measurable properties of a substance, such as vapor pressure and surface tension, occur due to the strength ofelectrical forces between particles, as given by Coulomb's lawelectrical forces between particles, as given by Newton's lawgravitational forces between particles, as given by Newton's lawO gravitational forces between particles, as given by Coulomb's law Convert 95F to degrees Celsius.If necessary, round your answer to the nearest tenth of a degree.Here are the formulas.C=- (F-32)-F9F==C+32 filburn was a farmer in ohio growing _____ on his farm. What might have been the motivation for the Armenian genocide? Mary Lynne correctly evaluates the expression.(14.91)(1)Which statements can Mary Lynne make?Select all correct statements. The first factor is 14.9. The product is 14.9. The first factor is 14.9 The product is 14.9. Which statement best describes mechanical energy?A.the energy of heat and magnetismB.the energy of electricity and motionC.the energy of moving parts and motionD.the energy of electricity and heat (Score for Question 2: of 27 points) 2. Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1 y 2 17 0 5 Sidewalk 2 1 20 3 26 (a) Write the equation for Sidewalk 1 in slope-intercept form. (b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form. (c) Is the system of equations consistent independent, coincident, or inconsistent? Explain. a. Note: Review 2.11 Strange Solutions and 5.05 Classifying Systems if you're not sure where to start. (d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?PLS HURRRRRRY i need this answer the real one and step by step pls if u dont know it dont try Bryant Vaughn first worked for United States government as a forensic botanist in 1975, _____ after pollen analysis was first used by Lennart von Post. what was the main reason the japanese attacked pearl harbor? Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.