Divide using polynomial long division. (Show your work)
Hint: don’t forget the 0x
(x^3-2x^2+4) ÷ (x+3)

Answers

Answer 1

Answer:

x^3−2x2+4x+3=x2−5x+15+−41x+3

Step-by-step explanation:

1.Divide the leading term of the dividend by the leading term of the divisor: x3x=x2.

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: x2(x+3)=x3+3x2.

Subtract the dividend from the obtained result: (x3−2x2+4)−(x3+3x2)=−5x2+4.

2.Divide the leading term of the obtained remainder by the leading term of the divisor: −5x2x=−5x.

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: −5x(x+3)=−5x2−15x.

Subtract the remainder from the obtained result: (−5x2+4)−(−5x2−15x)=15x

3.Divide the leading term of the obtained remainder by the leading term of the divisor: 15xx=15.

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: 15(x+3)=15x+45.

Subtract the remainder from the obtained result: (15x+4)−(15x+45)=−41.


Related Questions

f 9 liters of water is shared equally between 4 people, how many liters of water does each person get

Answers

Answer: Each person gets 2.25 liters.

Step-by-step explanation:

Given: Total quantity of water = 9 liters

Number of persons = 4

Quantity of water each person get = [tex]\dfrac{\text{Total quantity of water }}{\text{Number of persons }}[/tex]

[tex]=\dfrac{9}{4}\text{ liters}\\\\=2.25\text{ liters}[/tex]

Hence, each person gets 2.25 liters.

(8+r)4
It's simple but I wanna check if my messy self is actually right lol​

Answers

Answer:

the answer to this will be 32+4r if you simplify

A cook is making large fruit salads. He has 51 bananas, 41 pears, 25 peaches, and 56 apples. He needs 4 bananas, 3 pears, 2 peaches, and 5 apples for each salad. How many complete fruit salads can the cook make?

Answers

Answer:

I believe the answer would be 11 fruit salads in total.

Step-by-step explanation:

The cook has enough bananas for 12

Enough peaches for 12

Enough pears for 13

And enough apples for 11

Can someone help me pls

Answers

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

I WILL GIVE YOU BRAINLIEST PLEASE HELP!!!! which statement best describes the functions represented in the table?

Answers

C would be your answer

Answer:

C. Both functions are nonlinear but only function p is exponential.

find the length of the side of a square with a perimeter of 128 meters​

Answers

Answer:

32 Meters

Step-by-step explanation:

A square has 4 equal sides so all you have to do is divide 128 by 4

........................divide

Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y

Show your work please

Answers

Answer:B

Explanation Samuel earn per hour = 5 hrs

Commission = 65%

Samuel total earning for a day = 6 hrs

Now,

5(65)+6y

drag components to describe a sequence of transformations that will show triangle abc is equal to triangle def

Answers

Answer:

Step-by-step explanation:

From the figure attached,

ΔDEF is the image triangle formed by the sequence of transformations of ΔABC.

Step -1

ΔABC is reflected across line BC to get the inverted form of ΔA'B'C' (As shown in the image attached)

Step -2

Further ΔA'B'C' is translated by 4 units to the right to get the image ΔA"B"C".

Step - 3

Further ΔA"B"C" is translated 1 unit down to get the image ΔDEF.

3+1
X +5
1
1
2-1
What values of x satisfy the above equation?

Answers

If it is to match 3+1 which is 4 the value to satisfy X is -1

The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4 ½ centimeters, what is the volume of the cube? Write your answer as a fraction and a decimal

Answers

Answer:

91.125 or 729/8

Step-by-step explanation:

take 4.5^3 to get 91.125

Answer:

7

Step-by-step explanation:

(WORTH 20 POINTS) Please help I don't know how to do this

In your own words, what do the terms sales tax and discount mean? Is a 5 percent sales tax a percent of increase or decrease? What about a 15 percent discount?


lol help-

Answers

Answer:

Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps

Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)

Sales Tax = Sales Tax rate * Sale Price.

Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?

Divide the number you wish to add 5% to by 100.

Multiply this new number by 5.

Add the product of the multiplication to your original number.

Enjoy working at 105%!

I’ll mark you brainlist

Answers

Answer:

C=5

Step-by-step explanation:

23+(-3)=20

20=4c

4*5=20

Answer:

c=5

Step-by-step explanation:

1. x + 2x - 1 = 38
Inverse operation

Answers

Answer:

x=13

Step-by-step explanation:

First, you add the x's together: 2x+x=3x

Now you have:3x-1=38

Add 1 to both sides: 3x=39

1 cancel on the left side of the equation

Divide 3 on both sides: x=39/3

3 cancels on the left side and 39 divided by 3 is 13:

x=13

Hope this helps!

Olivia filled 4 baskets of apples. Her friend filled up one additional basket of apples. if all of the baskets sold for a total of $160, how much money did each basket of apples cost?

Answers

Answer:

$32

Step-by-step explanation:

Since the question says that all the apples were sold for a total of $160, this means that you have to add the additional basket of the friend's to Olivia's. Since Olivia has 4 baskets of apples and her friend has 1, 4+1=5. Since you're trying to find the unit price for 1 basket, you take the total of $160 and divide it by 5 to find how much each basket of apples costed. Since 160/5 is 32, $32 is your answer.

WILL MAKE BRAINLEST PLS HELP

Answers

The answer is 1/6 :)

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!

Answers

The answer would be c

Find the 82nd term of the arithmetic sequence -8,9,26...

Answers

Answer:

1,368

Step-by-step explanation:

Answer:

1369

Step-by-step explanation:

Calculate the measure of ∠ PMU and ∠ UPM.

m∠ PMU =
m∠ UPM =

Answers

Answer:

you want to find angle PMB to find PMU

180-21-35= 124

so now, you subtract 180-124 to find PMU

180-124= 56

Now, subtract 56 and 62 from 180 to find angle UPM

180-56-62= 62

m< PMU = 56

m<UPM = 62

Step-by-step explanation:

So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.

62+35=97

180-97=83

Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.

83-21=62(angle UPM)

Then do the same steps for finding the M angles

(Left Triangle)

62+62=124

180-124=56

(Right Triangle)

21+35=56

180-56=124

And because M intersects a straight line, the M angles should add up to 180.

56+124=180

Hope This Helps :)

A store pays $81 for a hockey stick and marks the price up by 5%. What is the amount of the mark-up?

Answers

.05 is equal to 5%
So for every dollar the mark up is .05cents
So if you times $81 by .05 this will give you the mark up because each of the 81$ needs .05 added to it.

So $4.05 Is the mark up

And

The cost would be markup and original added together

PLEASE HELP ASAP!??!?!? THERE IS 4 PAGES

Answers

Answer:

I am sorry but is the last time I can help you!

I wish you all the best!

Jason has a piece of wire that is 63.9 inches long. He cuts the wire into 3 equal places. Estimate the length of one piece of wire. Round down your answer to the nearest integer.

Answers

Answer: 21.3

Step-by-step explanation:

63.9 divided by 3 equal pieces is 21.3!

what is the f(5) for the function f(x)=3x+6

Answers

Answer:

21

Step-by-step explanation:

[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]

I think it 21! But I’m not 100%

Help 2 mins Left 10pts

Answers

Step-by-step explanation:

i got about 0.62

I'm so sorry if it isn't right tho

PLEASE HELP WILL NAME BRAINLEST
determine which lines, if any, must be parallel. Explain your reasoning

Answers

Answer:

Lines e & f are parallel to eachother and lines g & h are parallel to eachother

Step-by-step explanation:

Parallel lines never intersect.

--> The managers want to know how many boxes of 12 cookies can
be filled with the 3,258 cookies that have been baked. Fatima
starts by subtracting the largest number of boxes she can easily
calculate. She knows that 100 boxes of 12 cookies can be put into
one crate. How many crates can be filled from the total of 3,258
cookies?

Answers

Answer:

271 boxes

Step-by-step explanation:

Answer:

3 crates are required for 3258 cookies

Step-by-step explanation:

since the boxes can have 12 cookies each

number of boxes = number of cookies / number of cookies per box

number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)

since each crate can hold 100 boxes

number of crates = number of boxes / number of boxes per crate

number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)

therefore the number of required crates for 3258 cookies is 3

Step-by-step explanation:hope i helped you

Find the equation of the line parallel to -2x +y = 3, that passes through the point
(-3,-1). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or -a/b.

Answers

Answer:

y=-2x-9

Step-by-step explanation:

First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.

Parallel lines have the same slope.

So, the slope of the new line will also be -2x.

Now, use the given coordinates and put them and the slope into point-slope form.

Point slope: y-y1=m(x-x1)

y+3=-2(x+3)

Finally, distribute -2 to (x+3) and simplify the equation.

y+3=-2x-6

y=-2x-9

A(x) = 2 (3x - 2)(x - 5)

Answers

Answer:

Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

 

​  

 

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

 

​  

 

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

 

​  

 

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

 

​  

 

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

 

​  

 

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

 

​  

 

Multiply 2 times −1.

x=  

−2

3±  

29

​  

 

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

 

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

 

​  

 

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

 

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

 

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

 

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

 

​  

 

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

 

​  

 

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

 

​  

 

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

 

​  

 

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

 

​  

 

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

 

​  

 

Multiply 2 times −1.

x=  

−2

3±  

29

​  

 

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

 

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

 

Now solve the equation x=  

−2

3±  

29

​  

 

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

 

​  

 

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

 

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

 

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

 

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2

Step-by-step explanation:

Find the sixth term in the following arithmetic sequence.
1/4 , 1/8 ,0...

Answers

Answer: 3/8

1/4 + 1/8 divided by 2

Find each amount:



3.8% of 2

Answers

Answer:

0.076

Step-by-step explanation:

The answer is 0.076 because 3.8% of 2 is 0.076

Answer:

0.076

Step-by-step explanation:

convert 3.8% to a decimal. (0.038)

2 x  0.038 = 0.076

0.076 ÷ 2 = 0.038

Solve -103 = 6 x + 17

Answers

X=-20 hope it helps
Other Questions
Write a paragraph about something you can make or repair by yourself(100words)- anything please help A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000 ft? b. How long is the jumper in free fall if the parachute opens at ft? c. What is a reasonable domain and range for the function h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft Read the following paragraph and select the author's purpose in writing that paragraph. It's finally here! A complete set of kitchen knives that chop, slice, and dice vegetables with just the flick of your wrist. No more sawing away on those tough tomatoes skins. Our paring knife makes salad making a pleasure. The bread knife cuts through hard loaves like butter. Act now and receive a complete set of steak knives. They'll slice meat, not shred it. The whole package is yours for just . . . to inform to persuade to give pleasure to express strong feelingsWill mark brainliest!! Humans often convert grasslands into farm fields to grow crops. Describe why the conversion of temperate grasslands, such as in the central United States, into agricultural areas is an environmental problem. Another name for Rotation is slide.TrueFalse List all the words you can that remind you of the word freedom? Why were sugar growers able to change the government of Hawaii? Breaking down the constitution: mad-libs - fill in the blanks Iron(III) nitrate + potassium sulfide product names ___CO----> ___C+___O2what's the answer?!! Which of the following items characterize the wartime boom? Select all that apply.high stock pricesdecreased job growthgovernment purchasing of manufactured goodsmass production of goodshigh prices for farm crops Exploration brought Europe and the Americas in contact with one another. This resulted in the movement of people, plants, animals, and germscalled the Columbian Exchangethat changed life on both continents. Was the Columbian Exchange good for the world? Write an essay for your teacher and peers in which you argue your view. What helps yeast stop its progress?1. Salt2. Warm water3. Ice cubes4. Putting it in the fridgeThe correct answer will get 16 points and marked the Brainlest answer! Ill mark you brainlist Ill mark you brainlist write in y=mx+b form A bakery sells bagels at two different rates. When a customer buys fewer than 12 bagels, each one costs $1.25. When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75.Which TWO inequalities and constraints below represent the price for b bagels?? Question 1 options:1.25b when b 121b when b < 12, then 0.75b1b when b 12, then 0.75b0.75b for b < 12, then 1b0.75b for b 12, then 0.75b The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen? DNA evidence analysis is an imperfect science. Provide two reasons why this may be the case.For my Biomedical Science Class Can you show steps on how to do 2 8x = -22 ? Thank you! how to write k/3 + 16 in words 5. True or False: A growth rate can be only positive and negative, it can never be zero.....A. TrueB. False