What is the method given in this article for adding several polynomials?

Answers

Answer 1

Answer:

No options given. But there are two methods of adding polynomials; The horizontal method, and the vertical method.

Step-by-step explanation:

The options are not stated here. However, there are two methods of adding polynomials; The horizontal method, and the vertical method.

Example: Suppose we want to add the polynomials (3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)

Horizontal method

(3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)

First collect the like terms

3x³ + 4x³ + 5x² + 16x² + 3x + 56 + 4

= 7x³ + 21x² + 3x + 60

Vertical method

3x³ + 5x² +...........56

+ ......16x² + 3x

4x³ +...................... 4

...................................................

7x³ + 21x² + 3x + 60

These two methods both yield the same results.


Related Questions

Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer.

Answers

Given : points 4  , 1 ,25  , opposite of 3 ,  -1/2

To Find : draw on Number Line

Solution :

Numbers with a negative sign are less than zero

Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.

+ sign numbers can be denoted as simply numbers  

On a number line the number increases as we move to the right and decreases as we move to the left.  

1 : Draw a line and mark some points at equal distance on it as shown in the figure below  Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3  and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on

2.  Go 4 unit on right sides from Zero   to show  4

3.  Go 3 units on Left from zero to show opposite of 3

4.  Divide number line between 1 & 2 in 4 Equal parts and go 1 part right of 1

5.  Divide number line between  0 & -1  in 2 Equal parts and go 1 part left of 0

Madeleine earned $36,000 last
year. If the first $16,000 is taxed at 12% and income above that is taxed at 20%, how much does Madeleine owe in tax?

Answers

Owed 5920 in taxes

0.12*16000+0.2*20000=5920

SHOW 2 DIFFERENT WAYS TO FACTOR

\(-\frac{11}{2}x\) + \(\frac{1}{2} - \frac{7}{2} y\)


BTW!! \(-\frac{11}{2}x\) is NEGATIVE

Answers

Answer:

the fraction is 3(x + 4)

Step-by-step explanation:

Evaluate.

−8+(6+4)÷(−2)


a. −13

b. −4

c. −3

d −1

Answers

Answer:

-13

Step-by-step explanation:

−8+(6+4)÷(−2)

Evaluate inside the parentheses first

−8+(10)÷(−2)

The multiply and divide from left to right

−8+-5

Then add

-13

Shirley sold 60 kilograms of grapes on Friday, sold twice as much on Saturday and sold 30 more kilograms on Sunday than the combined sales on Friday and Saturday, How many kilograms did she sell in all? Please answer with EXPLANATION.

Answers

Answer: 390 i guess...

Step-by-step explanation:

60+(60x2)+((60+120)+30)

add on Friday sales to two times of Friday as Saturday, then combine Saturday and Friday, add 30 to the combined sales, thats how

60+ (60•2) = 180
180+30= 210
210+180= 390

Brainliest scattered plots and ignore what it says on 7 and 8

Brainliest scattered plots and ignore what it says on 7 and 8
Brainliest scattered plots and ignore what it says on 7 and 8
Brainliest scattered plots and ignore what it says on 7 and 8

Answers

The answer is in factor. Whatgbo2457)
The answer is in a factory he answer issssss factor

In two days, megan has read 62 pages of James and the Giant Peach. the book has 194 pages. if p represents the number of pahes Megan has left to read, which equation represents the situation?

A: 2p + 62 = 194
B: 194 - p = 62
C: 2p = 132
D: 132 - p = 194

Answers

Option B. 194-p=62 because the total she has read minus the amount she needs equals 62
b just read it and - the p

Kenneth graphed a system of equations.

Kenneth says the system has no solution
Do you agree?
Yes or No

Kenneth graphed a system of equations.Kenneth says the system has no solutionDo you agree?Yes or No

Answers

No. As the lines continue they will intersect.
There’s is a solution

PLEASE HELP

A heron is perched in a tree 50 feet above sea level. Directly below the Heron a pelican is flying 17 feet above sea level. Directly below the birds is a trout swimming 23 feet below sea level. identify if each statement is true or false.

The difference in height between the pelican in the heron is -33 feet : True or false
The difference in height between the pelican and the heron is 33 feet : True or false
The distance between the height of the pelican and the heron is -33 feet : True or false
The difference in height between the pelican and the trout is -40 feet : True or false
The difference in height between the pelican and the trout is 40 feet : True or false

Answers

1: False
2: True
3: False
4: False
5: True
True
False
True
True
False

Which interval for the graphed function contains the
local minimum?
O [-1, 1]
O [1, 2]
OC-3, -1]
O [-5, -3]

Which interval for the graphed function contains thelocal minimum?O [-1, 1]O [1, 2]OC-3, -1]O [-5, -3]

Answers

the answer is the last option

Probability that Garrick is certified = 25
Probability that Molly has not had an accident = 71.87
Probability that Ryan is both certified and has never had an accident =​

Answers

Answer:

Probability that Ryan is both certified and has never had an accident is undefined

Step-by-step explanation:

Given;

Probability that Garrick is certified = P(G) = {25}

Probability that Molly has not had an accident = P(M) = {71.87}

Probability that Ryan is both certified and has never had an accident = P(R) = {?}

Probability of Ryan being certified was not defined,

Probability that Ryan has not had an accident was not also defined

Therefore, Probability that Ryan is both certified and has never had an accident = P(R) = is undefined, since Ryan is not within the given set.

HELP PLEASE I REALLY NEED HELP

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875
Hi how has your day been

Banana Cupcakes
makes 10 cupcakes

1 cup granulated sugar

cup vegetable oil

1 large egg

4 tablespoons sour cream

2 medium-sized ripe bananas, mashed

1 cups all-purpose flour

1 teaspoon baking soda

teaspoon salt

1 teaspoon vanilla extract

pinch of nutmeg

You will use the recipe above to answer the following questions:

This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?

Answers

Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.

Step-by-step explanation:

Here we have a recipe that works for 10 serves.
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.

Hope this helped

I almost broke my brain doing this so can you give me brainliest answer please thank you

Evelyn bought needles, balls of yarn, stitch holders, and patterns for her knitting kit. she bought 3 times as any stitch holders as patterns. 7 less needles than stitch holder, and 2 balls of yarn. She paid $5.25 for each pattern, $0.50 for each stitch holder, $3.25 for each needle, and $7.50 for each ball of yarn. How many of each did Evelyn purchase if she paid $58.25

Answers

She needs 345- (7) 5.25) 2(0.25

Answer:
answer is going to be

4 patterns

5 needles

2 balls of yarn

and 12 stitch holders

hope this helped u bro

What is the area of this parallelogram?
60 cm2
66 cm2
72 cm2
132 cm2

What is the area of this parallelogram?60 cm266 cm272 cm2132 cm2

Answers

132 cm2 I think because you need to multiply them together and then add them

Phil is riding his bike. He rides 42 miles in 4 hours, 52.5 miles in 5 hours, and 63 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =

Answers

If we take 42/4, or any other of the sets, you will get 10.5, which is k.

10.5 is the amount of miles travelled in 1 hour.

Since we just multiply time and miles to get y, our equation will just be in y=kx format. 10.5 * time is the same as writing 10.5x since x is the hours. y would be miles.

Constant of proportionality: k = 10.5

The equation: y = 10.5x

:)

Constant of proportionality is 10.5 and the equation is y=10.5x

Tony is riding his bicycle. He rides at a speed of 11 kilometers per hour for 27.5 kilometers. For how many hours does he ride

Answers

Answer:

es igual a dos horas con 50 minutos: 2:50

Step-by-step explanation:

equals two hours and 50 minutes: 2:50

Tony took 2 and a half hours

MARK BRAINLIEST AND 12 POINTS

MARK BRAINLIEST AND 12 POINTS

Answers

Answer:

17

125

Step-by-step explanation:

exterior angle is equal to sum of interior opposite angle. so

( 2x + 6 ) + ( 5x ) = ( 8x - 11 )

7x + 6 = 8x - 11

x = 17

exterior angle = ( 8 * 17 ) - 11 = 125

Your answer would be 17 and 125

A $60 sweatshirt is on sale for 35% off the original price. What is the sale price of the shirt? (before tax)

Answers

Answer:

92.3077

Step-by-step explanation:

Compare your estimates for the percentage of male university students from part A and part B. Which estimate do you think is more representative of the population? Use complete sentences in your answer and explain your reasoning.

Answers

75.76 i need more info you’re welcome

evaluate the expression xy - 4x when x = 2 and y = 7 .
please help im trying to finish my pretest questions .

Answers

the anwer is  x=3
Step-by-step explanation:

Answer:

6

Step-by-step explanation:

\(xy - 4x \)

\((x \times y) - (4 \times x)\)

You replace where x to 2 and where y is to 7

\((2 \times 7) - (4 \times 2)\)

\(14 - 8 = 6\)

Giving brainliest!!!!!!!
Civics I meant

Giving brainliest!!!!!!!Civics I meant

Answers

b. it just makes the most sense to me, i passes my civics eoc with a 5
Your answer is B. The other ones are not real rights. Have a good one!!

1) Sandra bought coffee in a cup shaped like a cylinder with a radius of 10 centimeters and a height of 20 centimeters. Sandra fills the cup with coffee, but she leaves 5 centimeters of space at the top to have room for cream. What is the volume of coffee in her cup?
10 points
A. 4,000 cm^3
B. 4,710 cm^3
C. 5,234 cm^3
D. 6,500 cm^3

Answers

The answer for this question is B

The volume of coffee in her cylindrical cup is, 4700 cubic centimeters.

The correct option is B.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

Sandra bought coffee in a cup shaped like a cylinder with a radius of 10 centimeters and a height of 20 centimeters.

Sandra fills the cup with coffee, but she leaves 5 centimeters of space at the top to have room for cream.

The volume of coffee in her cylindrical cup,

= (3.14) (100) (15)

= 4710 cubic centimeters.

Therefore, the volume is, 4710 cubic centimeters.

To learn more about the cylinder;

https://brainly.com/question/16134180

#SPJ2

Which number sentence is true?
A) √12 > -5.2
B) 78/5 > 15.6 x 10²
C) √35 > 7 8/9
D) -3 1/8 -81/6

Answers

Lesson 4 Scientific Tools and Measurement 53

Answer:

a) is true

and you did not state question D well

Step-by-step explanation:

(HELP NEEDED) (PAST DUE) (STUCK) Please write a number line for the number 3

(HELP NEEDED) (PAST DUE) (STUCK) Please write a number line for the number 3

Answers

55x< 200 - 65 is the correct answer Answer : 55 is less than 200 minus 65
The first one is the answer

The cost of a trail mix at the grocery store is normally $12 per pound but now the price has increased by 30%. What is the price per pound of trail mix now that the price has increased?

Answers

Answer:

15.6

Step-by-step explanation:

The price of trail mix has increased by $12 * 30/100 = $<<12*30/100=3.6>>3.6.

So the price per pound of trail mix now is $12 + $3.6 = $<<12+3.6=15.6>>15.6.

The required new price of the trail mix is $15.6 .

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

The normal cost of trail mix at the grocery store = $12 per pound.

Als0, the price of the trail mix increased by 30%.

To find the price of trail mix after increasing the price,

Use percentage property,

Let the initial price was 100 %

So after increasing 30%, the new price becomes 130%.

The new price = 12 x 130% = 12 x 130 / 100 = 1560/100 = 15.6

The increased price of the trail mix is $15.6.

To learn more on Percentage:

https://brainly.com/question/24120406

#SPJ2

Find the length of the third side. If necessary, round to the nearest tenth.

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

11.6

Step-by-step explanation:

let x = length of the 3rd side

16² = 11² + x²        16 is the hypotenuse of a right triangle

x² = 16² - 11²

x² = 256 - 121 = 135

√x² = x = √135 = 11.6

Answer:

The length of the third side is 11.6

6) HELP plz ASAP the last one plz help

6) HELP plz ASAP the last one plz help

Answers

Answer:

12

Step-by-step explanation:

B. 16 rides

Dino= 4+ .80x

Unicorn= 12+ .30x

x=16

when you plug 16 in it would be

dino= 4+ .80(16)

=4+12.8

=16.8

unicorn= 12+ .30(16)

=12+4.8

=16.8

`>`

Help me please I have no knowledge ab this

Help me please I have no knowledge ab this

Answers

The answer is D for this question

Valentina and her parents are on a long drive to Monterey Bay to go kayaking. She passes the time by counting how many different colors of cars she sees. The table below shows the results.
Color of car Number of cars
black 4
red 7
silver 12
white 14
brown 5
blue 3
Based on the data, what is the probability that the next car seen is brown?
Write your answer as a fraction or whole number.

Answers

Based on the data provided, Valentina saw a total of 4 + 7 + 12 + 14 + 5 + 3 = 45 cars. Out of these cars, 5 were brown. Therefore, the probability that the next car seen is brown is 5/45 which can be simplified to 1/9.

Answer:

Based on the data provided, Valentina saw a total of 4 + 7 + 12 + 14 + 5 + 3 = 45 cars. Out of these cars, 5 were brown. Therefore, the probability that the next car seen is brown is 5/45 which can be simplified to 1/9.

Step-by-step explanation:

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