HELPP

3. Divide the following polynomials using the long division model: (4x^4 - 5x^2 + 2x^2 - X+5) = (x^2 + x+1).

Part I: Express this problem using the standard format for a problem of dividend - divisor divisor) dividend (2 points)

Part II: Use this checklist to proceed through this problem: (8 points)

• How many times does x2 go into the largest term in the problem?
* write the value on top of the problem and multiply that value by x^+x+1
*write the product below the lowest line on your work and subtract if from what reminds in the problem
*continue this process until you fab no longer divide x^2 into what reminds in the problem
*include your remainder in the final answer ​

Answers

Answer 1

Answer:

[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \ Remainder \ (x - 2)[/tex]

Step-by-step explanation:

Part I

The problem can be expressed as follows;

The dividend is 4·x⁴ - 5·x³ + 2·x² - x + 5

The divisor is x² + x + 1

[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}[/tex]

Part II

The number of times x² goes into the larest term, 4·x⁴ = 4·x² times

2·x² - 9·x + 7

[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}[/tex]

4·x⁴ + 4·x³ + 4·x²

-9·x³ - 2·x² - x + 5

-9·x³ - 9·x² - 9·x

7·x² + 8·x + 5

7·x² + 7·x + 7

x - 2

Therefore, we have;

[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \ Remainder \ (x - 2)[/tex]


Related Questions

What percent of 500 is 125

Answers

Answer:

25%

Step-by-step explanation:

125 of 500 can be written as:  125 /500

To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100.  

125 /500  ×  100 /100

= ( 125 × 100/ 500 ) ×  1 /100   =  25 /100

Answer:

25%

Step-by-step explanation:

Of means multiply and is means equals

P *500 = 125

Divide each side by 500

P = 125/500

P = .25

Change to percent form

P = 25%

the sum of a number and 3 divided by 9

Answers

Answer:

[tex]\frac{(x+3)}{9}[/tex]

Step-by-step explanation:

1 point Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation y=-x-3 (-3,4)​

Answers

Answer:

y=3x+9......(i)

y=-4x-12...(ii)

these are the equation

Help please quick for c and d

Answers

Answer:

6.82 cm

Step-by-step explanation:

1000=V=pi*r^2*h. 1000=pi*r^3, r=6.82 cm

Please hhhhhhhhhhhhhhhhheeeeeeeeellllppppppppp Simplify

Answers

Answer:

Does the answer help you?

Answer:

6/(x + 4)(x - 2)

Step-by-step explanation:

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3)

12x - 96 = 12(x - 8)

x² - 4x - 32 = (x - 8)(x + 4)

(12x - 96)/(x² - 4x - 32) = 12/(x + 4)

6x² - 6x - 12 = (3x + 3)(2x - 4)

(6x² - 6x - 12)/(3x + 3) = 2x - 4 = 2(x - 2)

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3) = 12/(x + 4) ÷ 2(x - 2) = 12/(x + 4) × 1/2(x - 2) = 6/(x+4)(x-2)

please help have a lot of math to do today

Answers

Answer:

115 in.^2

Step-by-step explanation:

The total surface area is the sum of the areas of the square base and the 4 congruent triangular faces.

SA = b^2 + 4 * bh/2

SA = (5 in.)^2 + 4 * (5 in.)(9 in.)/2

SA = 25 in.^2 + 2 * 45 in.^2

SA = 115 in.^2

Does the verbal description c minus 12

Answers

Answer:

Yes.

Step-by-step explanation:

Minus and difference mean the same thing. To find the difference, you subtract or minus, so they are the same thing.

Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.

Answers

The inequality that relates the number of hours to the weekly sales is:

[tex]450 + 0.20x \ge 35y[/tex]

The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales

We make use of the following representation:

[tex]x \to[/tex] weekly sales from cars.

[tex]y \to[/tex] hours worked in a week

His weekly salary is then calculated as:

Salary (S) = Earnings per week + Commission * Sales from car

So, we have:

[tex]S = 450 + 20\% * x[/tex]

Express percentage as decimal

[tex]S = 450 + 0.20* x[/tex]

[tex]S = 450 + 0.20x[/tex]

Assume he works for y hours in a week.

His hourly rate is:

[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours

[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]

For this rate to be at least [tex]\$35[/tex], the following condition must be true

[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35

So, we have:

[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]

Multiply both sides by y

[tex]450 + 0.20x \ge 35y[/tex]

Learn more about inequality:

https://brainly.com/question/20383699

How to find the absolute value of |2b+4| with b=-8

Answers

Step-by-step explanation:

the absolute value simply removes a negative sign, if there is one. if there is no negative sign, it leaves the argument untouched.

so, we need to calculate the argument first :

2b + 4 = 2×-8 + 4 = -16 + 4 = -12

|-12| = 12

that's it.

Will Mark Brainlest Help Please Please .​

Answers

Answer:

i think this is the correct answers

Step-by-step explanation:

Mark me Brainlest please

HELP ANSWER ASAP. what is the radius of a circle in which a 30 arc is 2pi inches long?

Answers

Answer:

I believe it's 12 in.

Step-by-step explanation:

hope this helps you!

TIMED PLEASE HELP EDGE 2021

Answers

The answer is A or b u choose the answer

1. (01.03 LC)
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $490.00 and her monthly expenses are $387.10,
what percent of her net pay is left for savings? (2 points)
21%
27%
45%

Answers

Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.

First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.

That is, the percentage indicates what part of a total represents a quantity.

To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.

In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.

Then:

portion of the total= amount of money saved= $102.9total amount= Lillie's current monthly net pay= $490

So, the percentage is calculated as:

percentage= (102.9÷490) ×100

percentage= 0.21×100

percentage= 21%

The correct option is: 21 percent of her net pay is left for savings.

Learn more about percentage with this examples:

brainly.com/question/19295956?referrer=searchResultsbrainly.com/question/1301322?referrer=searchResults

4. Find the height, x, of the building
Urgent please help

Answers

Answer:

D

Step-by-step explanation:

The function you need to use is the Tan(39).

Tan(x) = opposite / adjacent.

The opposite side does not make up the reference angle.

In this case, the opposite side = x

The adjacent side is not the hypotenuse and does make up the reference angle (which is not the right angle).

opposite = x

adjacent = 68

Tan(39) = x / 68              Multiply by 68

68*Tan(39) = x               Divide by Tan(39)

Tan(39) = 0.9098

68*.9098 = x

x = 55.07

Why can't x^2+9 be factored? And is there a way to tell if a problem can be factored or not just by looking at it?

Answers

Answer:

There are no like terms

Step-by-step explanation:

×^2+9

=ײ+9

how does translation affect the properties of a two-dimensional figure? please i need help

Answers

Answer:

It affects the location of the shape and how the shape looks. It doesn't affect the area or perimeter though.

Step-by-step explanation:

will give brainlest pls help me with all three questions

Answers

Answer:

Hello,

Step-by-step explanation:

3)

[tex]x^2-4x+3=0\\x^2-3x-x+3=0\\x(x-3)-(x-3)=0\\(x-3)(x-1)=0\\\\x-intercepts\ are\ x=3\ or\ x=1[/tex]

4)

[tex]-x^2-8x+12=0\\x^2+8x-12=0\\(x^2+2*4x+16)-16-12=0\\\\(x+4)^2-28=0\\\\\\(x+4-2\sqrt{7} )((x+4+2\sqrt{7} )=0\\\\x-intercepts\ are \ x=-4+2\sqrt{7}\ and\ x=-4-2\sqrt{7}\\\\[/tex]

5)

[tex]f(x)=-3(x-7)(x+4)\\=-3(x^2-3x-28)\\\\=-3(x^2-2*\dfrac{3}{2} *x+\dfrac{9}{4} )+\dfrac{27}{4} +84\\\\=-3(x-\dfrac{3}{2})^2+\dfrac{363}{4} \\\\\\Vertex\ is\ (\dfrac{3}{2},\dfrac{363}{4})[/tex]

I need help with this math problem

Answers

9514 1404 393

Answer:

  quiz score if no homework is done

Step-by-step explanation:

The y-intercept is the point where the horizontal coordinate is zero. That axis is defined as "hours per week spent on homework". So, the y-intercept is the function value when zero hours per week are spent on homework.

The function value is defined as "expected quiz score".

Then the y-intercept is ...

  the expected quiz score when zero hours per week are spent on homework

The exchange rate between dollars ($) and pounds (£) is $1 = £0.65 . The exchange rate between euros (€) and pounds is €1 = £0.74 . Khan changes €520 into pounds. He spends £260 and then changes the rest into dollars. Work out how many dollars he receives​

Answers

Answer:

€520=£442.83

=£442.83-£260

=£182.83 into dollars=$251.52

Therefore he receives $251.52

Help please !!!!!!!!!

Answers

Answer: (a): Good course, (b): Bad course

Step-by-step explanation:

Firstly, because the standard deviation of the good course results is lower, there is less variation so he performs more consistently there.

Secondly, the trick with the second question is that while the mean of the bad course is slightly less, the standard deviation is quite a lot higher than that of the good course, so it's more likely that the highest single test score belongs to the bad course.

what is the product of 7/9 and 1/4 in fraction form?

Answers

Answer:

Wdym? that is fraction form, but if you ment decimal form; it is .7777 repeating and .25

Step-by-step explanation:

Evaluate the expression for x=-5,y=-7, and z=9

Answers

Answer:

Is 11

Step-by-step explanation:

x+(-y)+z —> -5 +(+7)+9 = -5+7+9 = 11

Which of the following is a factor of 6x^3 + 6?

Answers

Answer:

x + 1

Step-by-step explanation:

Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)

please help me with these​

Answers

Answer:

x= -1

y= 2.5

Step-by-step explanation:

15x+6y=0

4x-6y=-19

19x = -19

x=-1

-15+6y = 0

6y=15

y=2.50

Answer:

19x = -38

x = -2

(-2,5)

Step-by-step explanation:

3(5x + 2y = 0)

2(2x - 3y = -19)

First step is to simplify the equations by using the distributive property.

3(5x + 2y = 0)

distribute the 3 by multiplying 3 by everything inside of the parenthesis

3 * 5x = 15x

3 * 2y = 6y

3 * 0 = 0

first equation simplified: 15x + 6y = 0

2(2x - 3y = -19)

distribute the 2 by multiplying 2 by everything inside of the parenthesis

2*2x = 4x

2 * -3y = -6y

2 * -19 = -38

second equation simplified: 4x - 6y = -38

We acquire the two equations

15x + 6y = 0

4x - 6y = -38

Notice how there are two 6ys, one is negative and the other is positive. When this happens we can add the two equations together and solve for x. We can do this because the two 6ys will cancel out and we will be left with one variable. when there is only 1 variable you can solve it.

So add the two equations

+ 15x + 6y = 0

4x - 6y = -38

--------------------

19x = -38

now solve for x

divide both sides by 19

19x/19 = -38/19

x = -2

Now we need to find the value of y.

To do so simply plug in the value of x into one of the equations and solve for y

4x - 6y = -38

x = -2

4(-2) - 6y = -38

multiply 4 and -2

-8 - 6y = -38

add 8 to both sides

-6y = -30

divide both sides by -6

y = 5

The solution to the system is (-2,5)

Find the value of each measure.

Answers

Answer:

39

Step-by-step explanation:

4x+7=9x-33

4x-9x=-33-7

-5x=-40

x=8

4×8+7=39

39





The awnser is 39 because of math

Utilize graphing to find the solution to
the following system of equations.
4x + 3y = 25 AND y = -5x + 1
([?], [])

Answers

Answer:

you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3

SOMEONE HELP ME PLEASE

Answers

Answer:

so thats 2/6 or 1/3

Step-by-step explanation:

A die has 6 sides your odds of getting 2 or lesser are 1/3 or 33%

Find the length of the third side. If necessary, write it in simplest radical form.

Answers

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

B
C
5
C
A
12
Find the length of “c” using
the Pythagorean Theorem.
Enter

Answers

Answer:

13

Step-by-step explanation:

We know that a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Taking the square root of each side

sqrt(169) = sqrt(c^2)

13 =c

Identify the perimeter and area of an equilateral triangle with height 12 cm. Give your answer in simplest radical form.

Answers

Answer:

perimeter is 36 cm

Step-by-step explanation:

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