Find (x^3 + x^2 − 20x + 24) divided by (x − 3).

Answers

Answer 1

Answer: olynomial Long Division

Dividing :  x3 + x2 - 20x + 24

                             ("Dividend")

By         :    x - 3    ("Divisor")

dividend     x3  +  x2  -  20x  +  24

- divisor  * x2     x3  -  3x2        

remainder         4x2  -  20x  +  24

- divisor  * 4x1         4x2  -  12x    

remainder          -  8x  +  24

- divisor  * -8x0          -  8x  +  24

remainder                0

Quotient :  x2+4x-8  Remainder:  0

Factoring  x2+4x-8

The first term is,  x2  its coefficient is  1 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -8

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   4 .

     -8    +    1    =    -7

     -4    +    2    =    -2

     -2    +    4    =    2

     -1    +    8    =    7

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Find roots (zeroes) of :       F(x) = x3 + x2 - 23x + 24

    See theory in step 1.3

In this case, the Leading Coefficient is  1  and the Trailing Constant is  24.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,8 ,12 ,24

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        47.00    

     -2       1        -2.00        66.00    

     -3       1        -3.00        75.00    

     -4       1        -4.00        68.00    

     -6       1        -6.00        -18.00    

     -8       1        -8.00        -240.00    

     -12       1       -12.00       -1284.00    

     -24       1       -24.00       -12672.00    

     1       1        1.00        3.00    

     2       1        2.00        -10.00    

     3       1        3.00        -9.00    

     4       1        4.00        12.00    

     6       1        6.00        138.00    

     8       1        8.00        416.00    

     12       1        12.00        1620.00    

     24       1        24.00       13872.00    

Polynomial Roots Calculator found no rational roots

Answer: x3 + x2 - 23x + 24

 ——————————————————

         x        

Step-by-step explanation:


Related Questions

7. Adrienne and her brother John each inherit $7,000 that they use to open savings accounts with
Adrienne's account earns 4.7% annual compound interest and John's account earns 4.7% annual
simple interest. Neither makes any additional deposits or withdrawals for 10 years.
a. Who's account will be worth more at the end of 10 years?
b. How much more will the account be worth?

Answers

Answer:

234

Step-by-step explanation:

s=23

This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to Super Nintendo World last year. Although she couldn't remember what each tickets costed, she knew that her family paid $1700 total for the tickets.

use variable `a` for number of adult tickets
use variable `c` for number of child tickets
Write an equation that describes this situation.

Answers

Answer:

All of their tickets cost $425.00

Step-by-step explanation:

a= adults c=children

$1700 divided by a=4

$1700 divided by c=2

HELPPP IK IT IS NOT MATHHHH PLZ

Answers

Answer:

13)ignorance

Step-by-step explanation:

PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

Hey!

==================================================================

Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).

Since we know that the slope is -3, we substitute that in for m.

y = -3x + b

Now, we know the y-intercept is 4, so we substitute that in for b:

y = -3x + 4

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

PLEASE HELP ILL GIVE BRAINLIEST
SHOW YOUR WORK

Answers

it’s a 30% increase because she is selling them for 3x what she paid

How do you write 2.3 x 103 in standard form?

Answers

Answer:

2300

Step-by-step explanation:

[tex]2.3 \times {10}^{3} \\ \\ = 2.3 \times 1000 \\ \\ = 2300[/tex]

which equation represents a linear function

Answers

Answer:

Bottom right equation

Complete the equations by entering the whole numbers that are equal to the fractions.

8
8
=
3
3
=


30
10
=
9
3
=


6
3
=
12
6
=

Answers

Answer:

Not sure if these are the fractions, tell me if they are wrong.

8/8 = 1

3/3 = 1

30/10 = 3

9/3 = 3

Create an eqaution in slope- intercept form with a slope of 3 and y- intercept of -25

Answers

Answer:

y = 3x - 25

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.
5
4
3
2
1
-12-11-10-9-8
5
5
1 2 3 4 5 6 7 8 9 10 11 12
3-2-2
-2
-3
- 4
-5
-6
-7
-8
= "
-10
-12

Answers

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

hi. how to give brainliest :-)..........​

Answers

Answer:

you have to be above ambitious to unlock brainiest answer

Step-by-step explanation:

Answer:

You got wait for 2 people to answer to this then at the bottom right theirs a crown click n that’s how u give brainliest

Step-by-step explanation:

Identify the lobe of the brain
a)frontal
b)temporal
c) occipital
d)parietal

Answers

Answer:

Frontal lobe: The part of each hemisphere of the brain located behind the forehead that serves to regulate and mediate the higher intellectual functions. The frontal lobes are important for controlling thoughts, reasoning, and behaviors.

the lobe of the brain located closest to the ear. Structures in the temporal lobe are important for memory, language, and hearing, along with many other functions.

The primary visual cortex is located here and thus the occipital lobe is considered the visual center of the brain.

The parietal lobe is one of the major lobes in the brain, roughly located at the upper back area in the skull. It processes sensory information it receives from the outside world, mainly relating to touch, taste, and temperature.

Step-by-step explanation:

Are these similar and what is the reason?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

so I will that they are similar

Select the correct ans
Consider functions fand g.
f(3) = -3.12 +41 + 4
g(t) = f(-71 - 7)
Which expression is equal to (1) + g(1)
A.
4-2 – 31 + 4
B. -10.22 – 31 + 4
C. -3r2 – 3.1 – 3
D.
-10.r2 + 41 – 3

Answers

Answer:

I believe it's (D) So I would choose that

A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.

Answers

Answer:

The rounded answer would lead you to 603.

If this is wrong in sorry.

The volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

What will be the volume of the cylinder?

Given that

The diameter d=8 inches r= 4 inches

The height of the cylinder h=12 inches

the volume of the cylinder will be

[tex]V= \pi r^2h[/tex]

[tex]V=\pi\times (4)^2\times 12[/tex]

[tex]V=602.88\ Inch^2[/tex]

Thus the volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

To know more about the Volume of cylinders follow

https://brainly.com/question/23935577

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $13,and tickets cost $12.50 per person, including tax. What is the maximum number of people who can go to the amusement park?​

Answers

Answer:

8

Step-by-step explanation:

Let x be the number of people

12.5x + 13 < 125

x < 8.96

Max number of x is 8

Find the distance from A to C


12

74

^74

6

Answers

Answer:

12 i think I'm right. i don't know

Answer:

√74  or 74^(1/2)

Step-by-step explanation:

A (-2 , 4), C (3 , -3)

distance AC = √(x'-x)² + (y'-y)²

d = √(3 - -2)² + (-3 - 4)² = √5² + (-7)² = √74

PLZ HELPPP.3+28/z +4s use z=7 and s=5

Answers

3+28/7+4*5 /reduce the fraction with 7
=> 3+4+20
=> 27

I need this done ASAP! please

Answers

I’m pretty sure that the correct answer is A

On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
gallons of the milk. How much milk does the cafeteria have left?
gallons

Answers

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

B R A I N L I S T I NEED HELP A S A P PLEASE

Answers

Answer:

From the left side :

1. X= 60.

2.X= 15.

3.X= 21

Step-by-step explanation:

If u want further explanation , let me know ^^

Good luck ^_^

which pair best represents a causation statement?
A. a person's age and his/her height.
B. the length of your hair and reading ability
C. the number f books read and the size of someone's vocabulary
D. the higher number of shark attacks and the increasing number of people going on vacation

Answers

Answer:

C. the number f books read and the size of someone's vocabulary

Step-by-step explanation:

causation is the action of causing something, thats the only one that makes sense lol

∠A=5x−18 ∘ start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}∠B=3x+42 ∘ start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:

Answers

Answer:

A = 132 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

132

Step-by-step explanation:

bc khan

help meeeeeeee pleaasseeeeeee. Also I need work

Answers

Answer:

27.5

Step-by-step explanation:

70(0.80)^10 + 20 = 27.51619276 which s about 27.5

What is the product of (x + 6) and (x + 1) ?

Answers

2
(2y +13y+15) there’s your answer papi

Help me please.........

Answers

DONT GO INTO THE SITE THIS DUDE BELOW BC HE IS A HACKER.

Not sure how to do this one. Could use some help!

Answers

Answer:

0<x<3 and 8<x<9

Step-by-step explanation:

Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).

Rational numbers are _____ natural numbers.

sometimes
always
never

Answers

Answer: sometimes

Step-by-step explanation:

sometimes

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.

Usatestprep Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. ITEM BANK: Move to Bottom The probability of choosing a yellow marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.The probability of choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball, and 3 basketballs.The probability of choosing a blue block out of a bag containing 4 red, 2 blue, and 4 green blocks.The probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.The probability of choosing a red block out of a bag containing 1 red, 1 blue, and 3 green blocks.The probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy ball.The probability of flipping a head on a fair coin.The probability of rolling an even number on a die. 0.5 0.2 0.4

Answers

Answer:

0.5----> 3 red, 1 green, 4 blue and 2 yellow marbles.......1 red, 1 blue, and 3 green blocks.......4 soccerballs, 1 playground ball, and 3 basketballs......

0.2----> 4 red, 2 blue, and 4 green blocks...........5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy balls.......

0.4---->

thats all i got so far hope this helps!!!!!!! make sure to stay safe a well.

Step-by-step explanation:

Please help.. The math department is putting together an order for new calculators. The students are asked what model and color they prefer.

Answers

Answer:

The answer is D. Here is proof. PLEEEAAASE mark brainliest.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Other Questions
If you wanted to know which direction you'd have to travel to get from New York to philadelphia, where on a map would you look? 1. Why did the Mexican War lead to conflict between North and South? What shifts are occurring internationally in the division of labor and the roles of women in the labor force? IS IT SER OR ESTAR PLEASE HELP ME ASAP!!!!! Solve the equation for the value of x-3x=57Please show your work, thank you. 1. What are the general characteristics of a solid? A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream?A. A two-sample t-test for a difference between meansB. A chi-square test of independenceC. A linear regression t-test for slopeD. A two-sample z-test for a difference between proportionsE. A matched pairs t-test for a mean difference a) 12, 10, 7,3,Rule:b) 1,3,9, 27,Rule:Ic) 4, 19, 34, 49Rule: Pls help, I don't know how to solve this. No files, No links pls, thanks!Find:a) 0.5 of 12b) 0.15 of $2 four main towns along the genesis route What conclusion can you draw about future contributions?African Americans were only making strides in the political world.Wealthy African Americans were winning awards.African Americans will continue to impact the United States in all types of areas.Publications will be for white men only, now and in the future. Where does the fetus attach and grow in awoman? Determine the measure of angle b using the photo. Johnny's father made a deal with him. He would pay him 30 cents to work for him the first day and double the amount every day. Help please I would appreciate it Read the excerpt from The Secret Garden.Suddenly a clear rippling little sound broke out near her and she turned around. She was standing a few feet from a young apple-tree, and the robin had flown on to one of its branches and had burst out into a scrap of a song. Ben Weatherstaff laughed outright."What did he do that for?" asked Mary."He's made up his mind to make friends with thee," replied Ben. "Dang me if he hasn't took a fancy to thee.""To me?" said Mary, and she moved toward the little tree softly and looked up.Which evidence best supports the idea that Mary is beginning to change?"She was standing a few feet from a young apple-tree.""she turned around.""she moved toward the little tree softly""'What did he do that for?' asked Mary." The principal is interested in knowing whether the staff members in the entire school would prefer having meetings before school or after. The principal conducts a random sample from the following groups: All staff membersAll studentsAll the front office staffAll the male teachersWhich of the following would provide the best results for the survey? (3 points) aAll the male teachers bAll staff members cAll students dAll the front office staff Help please its timed 1. If many of the concepts include in the US Constitution are based on Europeanideas, what key role did the framers of the US Constitution play?2. Why is it important that every citizen has, and exercises, his or her right tovote? 1. The midsegment of a trapezoid is half the sum of the bases.true or false ?