divide 26x^4 - 13x^3 - 74x^2 - 46x - 24 by 2x^2 - 3x -5 and verify the result by division algorithm

Answers

Answer 1

Answer:

Step-by-step explanation:

Using long division:

                        13x^2 + 13x + 15   <------------Quotient

                       _________________________

2x^2 - 3x - 5 )  26x^4 - 13x^3 -  74x^2 - 46x - 24

                        26x^4 - 39x^3 - 65x^2

                                     26x^3 -   9x^2  - 46x

                                     26x^3 -  39x^2 - 65x

                                                    30x^2 + 19x   - 24

                                                    30x^2  - 45x  - 75

                                                                   64x + 51  <---- Remainder.     Division algorithm:

a = bq + r

Here a = the original expression , b = the divisor (2x^2 - 3x - 5), q is the quotient and r = the remainder,

26x^4 - 13x^3 - 74x^2 - 46x - 24 = (2x^2 - 3x - 5)(13x^2 + 13x + 15) + 64x + 51

= 2x^2(13x^2 + 13x + 15) - 3x(13x^2 + 13x + 15) - 5(13x^2 + 13x + 15) + 64x + 51

= 26x^4 + 26x^3 + 30x^2 - 39x^3 - 39x^2 - 45x - 65x^2 - 65x - 75+64x+51

= 25x^4 - 13x^3 - 74x^2 - 46x - 24 which is the same as the above.

                                                         

                                                   

                   

                 


Related Questions

Which equations are related equations to x + 5 = 34. Select each correct answer. A. X = 34 - 5 B. 5 = 34 - x C. X + 34 = 5 D. X = 34 + 5

Answers

A because is adding then subtracting then diving but last of all multiple times).))/)/)/)

-(4+H)=3h

Solve for h

Answers

H=-1


Solving steps

-(4+h)=3h
-h-3h=4
-4h=4

Find the range of the given data set.

-4, -3, -1, -1, 0, 1

Answers

Answer:

5

Step-by-step explanation:

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Identify a reasonable approximation for the solution of this system

Answers

Answer:

Add a picture of the system

Step-by-step explanation:

Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11

Answers

I believe it should be 0.5 x 7 as that is in a bracket and you have to deal with the bracket first before dealing with numbers outside the bracket.

Answer:

0.5 x 7

Step-by-step explanation:

hope this helps

Which angle pairs in the diagram are supplementary angles? Check all that apply.

∠3 and ∠6

∠1 and ∠4

∠5 and ∠6

∠4 and ∠5

∠6 and ∠7

Answers

Answer:

1 and 4

4 and 5

6 and 7

Answer:

∠1 and ∠4

∠4 and ∠5

∠6 and ∠7

Step-by-step explanation:

took the edge quiz

13. Which is the range of the relation
below?
х
0 2 468
Ly-2 -1012
A 0, 2, 4, 6,8
B-2, -1,0, 1, 2
C-2, -1,0, 1, 2, 4, 6,8
D 0,2

Answers

The range is all y-values.

In the relation, all the y-values are in the

second row.

-2, -1, 0, 1, 2

Therefore, the answer is B.

Best of Luck!

13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.​

Answers

Answer:

CP of ring = 1200

profit % = 15%

Profit amount = 15% 0f 1200 = 180

SP = 1200 + 180 = 1380

Answer:

€ 1380

Step-by-step explanation:

The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,

[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]

he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).

So, the selling price (the new price of the ring) would be:

= Original price + profit

= €1200 + €180

= €1380

What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)

Answers

Answer:

focus | (2, 7)

vertex | (2, 6)

semi-axis length | 1

focal parameter | 2

eccentricity | 1

directrix | y = 5

Step-by-step explanation:

Describe the difference in how the pie chart and the Pareto chart show patterns in the data. Choose the correct answer below.
O A. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
OB. The pie chart shows the individual responses. The Pareto chart shows the distribution of the seasons.
O C. The pie chart shows the distribution of the seasons. The Pareto chart shows the individual responses.
OD. The pie chart shows the rankings of the seasons. The Pareto chart shows the percentages.
Click to select your answer.

Answers

Answer:

A. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

Step-by-step explanation:

hope this helps

A pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

What is a pie chart?

"A pie chart is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice is proportional to the quantity it represents."

What is a Pareto chart?

"A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line."

Therefore, a pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

Learn more about a pie chart and a Pareto chart here: https://brainly.com/question/13274440

#SPJ3

If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?

Answers

Answer:

12

Step-by-step explanation:

UV + VW = UW

[tex]5+(4x-1)=5x+2[/tex]

Remove brackets:

[tex]5+4x-1=5x+2[/tex]

Solve [tex]5-1=4:[/tex]

[tex]4x+4=5x+2[/tex]

Subtract 4 from both sides:

[tex]4x+4-4=5x+2-4[/tex]

[tex]4x=5x-2[/tex]

Subtract 5x from both sides:

[tex]4x-5x=5x-2-5x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

[tex]UW=5x+2=5(2)+2=10+2=12[/tex]

Solve for x : 3xyz= P

Answers

Answer:

x = P/yz

Step-by-step explanation:

You just divide the left side by yz

4x(10-3+2) simplify expression

Answers

Answer:

20

Step-by-step explanation:

the answer is 20 use pemdas (parenthesis,exponents,multiplication,divide,add,subtract)

Help me solve step by step

Answers

If you have questions just message me. I hope this helps

Solve all these to be marked the brainlest

Answers

5. A^2 = 91
6. A = 12.2

1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x​

Answers

D. y=mx+b. m being slope and b being the y intercept. so the equation for the line is y=3x+2 and to be parallel your m must be the same number so D. 3x

Camila is seamstress and is creating a wedding dresses. She has 144 yards of silk fabric. For each dress, the skirt requires 3 yards of silk and the bodice requires 1 yard of silk. How many dresses can she make with the amount of silk she has?

Answers

Answer:

either 36 or 24

Step-by-step explanation:

The number of dresses can she make with the amount of silk she has is 48.

Given that,

She has 144 yards of silk fabric. For each dress, the skirt requires 3 yards of silk and the bodice requires 1 yard of silk.

Based on the above information, the calculation is as follows:

[tex]= 144 \div 3[/tex]

= 48

Learn more: https://brainly.com/question/26115859?referrer=searchResults

7 x [{9+8)-(12-7)] answer

Answers

Answer:

84

Step-by-step explanation:

7×[17-5]

7×12

84

hope it will help

Find two decimals that are equivalent to (4x10)+(7x1/100)

Answers

Answer:

4.700 and 4.70

Step-by-step explanation:

step one:

Since the number is basically a representation of numbers to the powers of 10,  that is the place value of each digit corresponds to the power of 10

step two:

now given the expression

(4x10)+(7x1/100)

this can be written as

4.700

and this Could also be equivalent to

4.70 and 4.7 since

Solve the equation: 2^2 − 9 + 10 = 0 Step by step

Answers

Step-by-step explanation:

2^2 − 9 + 10 = 0

4-9+10=0

4+1=0

5=0

False

Question 5: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.

74 73 74 77 75 68 73 69 69 69
70 71 73 72 72 71 62 63 66 65
65 64 68 67 67

Find the percentile rank of 73. % =

Answers

Answer:

The percentile rank of the data value 73 is 84.

Step-by-step explanation:

In this problem, you want to find the percentile rank of the data value 73 in the data set.

The percentile rank represents the percent of numbers in the data set that have value equal or less than 73.

Take note that there are 25 data values in this data set. It's helpful to sort them in ascending order.

Of these 25 data values, 21 are less than or equal to the data value 73. To find the percentile rank of 73, apply the formula:

percentile rank = (L/N)(100)

where L is the number of data values that are less than or equal to 73, and N is the size of the data set.

Substituting in values for this problem, we have:

percentile rank = (21/25)(100)

percentile rank = (0.84)(100)

Percentile ranks are always expressed as whole numbers.

Evaluating the multiplication above and rounding to the nearest whole number we have:

percentile rank = 84

Interpreting our answer, 84% of the numbers in the data set have values less than or equal to 73.

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

Answers

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

 The difference between the product of four and a number and six

Into algebraic expression

Answers

answer- 4x-6
explain- i got it right

What is x=to in this? 3x + 18 = 4x + 10

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]3x+18=4x+10[/tex]

Subtract 18 from both sides:

[tex]3x+18-18=4x+10-18[/tex]

[tex]3x=4x-8[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-8-4x[/tex]

[tex]-x=-8[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]

[tex]x=8[/tex]

I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =

Answers

Answer:

r²(9r-1)

Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

6r³ + 3r³ - r²

= 9r³ - r²

factorize by divide each by r²

= r²(9r - 1)

There are 30 students in a sixth grade class. 60% of the students are girls. How many of the students are girls?

Answers

Answer:

18

Step-by-step explanation:

30 students * 60/100= 18

Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.

Answers

1/3 divided by 4/5 = 5/12

What is equivalent to
5[4 + 3(x – 6)]?

Answers

Answer:

odk

Step-by-step explanation:

Rita is developing an equation that will represent the same proportional relationship as the graph.

Answers

Yes I can help you show me the equation

It's d. The quotient of the coordinates will be a coeffficient in the equation


In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.

Answers

Answer:

May I ask why you are you doing this math in college?

Step-by-step explanation:

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