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

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

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
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Answers

Answer:

234

Step-by-step explanation:

s=23

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

which pair best represents a causation statement?
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B. the length of your hair and reading ability
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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

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8
8
=
3
3
=


30
10
=
9
3
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6
3
=
12
6
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Answers

Answer:

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

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

Answers

2
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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

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Answers

Answer:

From the left side :

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Step-by-step explanation:

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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:

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]

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Answers

Answer: sometimes

Step-by-step explanation:

sometimes

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

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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

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Answer:

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

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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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).

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Answers

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

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Answers

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

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Answers

Answer:

A = 132 degrees

Step-by-step explanation:

Look at attachment:

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Answer:

132

Step-by-step explanation:

bc khan

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Answers

Answer:

89.88 gallons of milk

Step-by-step explanation:

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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.

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Step-by-step explanation:

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Answers

Answer:

13)ignorance

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
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-3
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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

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:

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0.4---->

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

Step-by-step explanation:

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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

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:

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

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Answers

Answer:

27.5

Step-by-step explanation:

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

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Answers

I’m pretty sure that the correct answer is A

Select the correct ans
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A.
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D.
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Answers

Answer:

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

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Answer:

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