Divide using polynomial long division. (x3 + x2 + x + 2) / (x2 - 1) =​

Answers

Answer 1

Answer:

Step-by-step explanation:

Divide Using Polynomial Long Division. (x3 + X2 + X + 2) / (x2 - 1) =
Answer 2

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The quotient for the given polynomial is x + 1.

The remainder for the given polynomial is 2x + 3.

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Divide using polynomial long division.

(x³ + x² + x + 2) / (x² - 1)

This can be written as,

x² - 1 ) x³ + x² + x + 2 ( x + 1

          x³ - x      

      (-)     (+)                

              x² + 2x

              x² -  1        

          (-)    (+)                                      

                 2x + 3

                 

Thus,

The quotient for the given polynomial is x + 1.

The remainder for the given polynomial is 2x + 3.

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Related Questions

I think I missed something in class cause I have no clue how to do this. Please help!!

Answers

Answer:

h=60 °

g= 120°

k= 33°

m = 147°

Step-by-step explanation:

For K and G it's just the same as the other angle across from it. and H and M is subtracting from 180

Answer:

G = 120

H = 60

K = 33

M = 147

Expand and simplify (x + 3)(x - 1)

Answers

I hope it helps you ❤️❤️❤️❤️

Simplify:
-9f - 0.5f + 0.25 *

Answers

Answer:

−9.5f+0.25

Step-by-step explanation:

Answer:

it equals -9.5f+0.25 thats what i got and i checked on photomath.

Step-by-step explanation:

sum is 12 and difference is 5

Answers

Answer: there is no answer involving real numbers

Step-by-step explanation:

HELP PLSS!

The rectangle shown has a perimeter of 66 cm and the given areaIts length is 3 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

The area of the rectangle is equal to the base times the height. That is, major side by minor side. In many places we will find how the height is called "h" and the base "b."

Step-by-step explanation:

The dimensions of rectangle are width of 5cm and Length of 28 cm.

What is Rectangle?

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees

The perimeter of rectangle is

Perimeter=2(Length+width)

Given that  length is 3 more than five times its width.

L=3+5W

Perimeter=2(3+5w+w)

Perimeter of rectangle is given by 66cm

66=2(6w+3)

Apply distributive property on RHS side

66=12W+6

Subtract 6 from both sides

60=12W

Divide both sides by 12

W=5

L=3+5(5)=25+3=28

Hence the dimensions of rectangle are width of 5cm and Length of 28 cm.

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...hey what's
[tex] \sqrt{1} [/tex]

Answers

1
hope that helps!!!!!

Answer:

the square root of 1 is 1. hope this helps

What is the value of the expression 3n + 7 when n= 8?
O 24
O 27
0 31
O 35

Answers


Answer:
3(8) + 7 = 31

Answer:31

Step-by-step explanation: first if n=8 you need to do 8*3 or 3*8 +7 you get 31

solving systems of equatins using substitution with both equations in y=mx+b

PLZZZ HELP ME PLZZ

Answers

Ya good luck I can’t help ya there

Find the area of the quadrilateral
coordinates:
(-2,-7) (-1,-3) (3,-1) (6,-7) (-2,-7)
please show work how you got it if you know the answer !! kinda struggling loll

Answers

Answer:

hope this helps

Step-by-step explanation:

if u know how to find the area then u can have a go

but i have put the co-ordinates on

hope it helps

plz mark as brainliest

thank you

19NBoli

:)

what is 3/4 divided by 2/3 as a mixed number?

Answers

Answer:

1.125

Step-by-step explanation:

3/4 / 2/3 when you divide numbers you can flip the second fraction and instead of divide multiply so it will look like this 3/4 x 3/2 so you can now just multiply them which equals= 9/8

Help- No silly answers

Answers

Answer:

1. 3 2/3

2. 14/5

3. A, B, D, E

4. 1 1/2

cute emblem UwU

Step-by-step explanation:

I need help with these problem PLEASE HELP

Answers

Answer:

No, The sum of the lengths of sides b, c must be greater than the length of the remaining side a.

Step-by-step explanation:

b + c ≤ a

21 + 13 ≤ 38

51 ≤ 38

good luck, i hope this helps :)

PLEASE HELP ME!!!
Which Choice is equivalent to the product below?

Answers

it’s B

6x3=18
sqrt18 simplifies to sqrt9 x sqrt2
sqrt9 is 3 for 3sqrt2

how do you do cube roots? ∛8????

Answers

Answer:

8 = 2×2×2

[tex]\sqrt[3]{8}[/tex]= ∛2x2x2

    =∛(2)(2)(2)

    =∛2³

    =2

hence ∛8 = 2

Please help me please thank you

Answers

you divide by 3 each time

the answer is Y= 3x because you multiply Y with 3

A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles. You choose a marble at random
from the bag. What color marble will you most likely choose?

Answers

Given:

A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles.

To find:

What color marble will you most likely choose if you choose a marble at random from the bag.

Solution:

We have,

Number of red marbles = 21

Number of green marbles = 24

Number of blue marbles = 21

Total number of marbles = 21+24+21

                                         = 66

Now,

[tex]P(Red)=\dfrac{21}{66}[/tex]

[tex]P(Green)=\dfrac{24}{66}[/tex]

[tex]P(Blue)=\dfrac{21}{66}[/tex]

The number of green marbles is largest. So, the probability of getting a green marble is largest.

Therefore, you will most likely choose green marble.

Which accurately describes a circle with a radius 12 centimeters and center Q?

A. the collection of all points located 144 centimeters from point Q

B. the collection of all points located 6 centimeters from point Q.

C. the collection of all points located 24 centimeters from point Q.

D. the collection of all points located 12 centimeters from point Q.​

Answers

Answer:

the answer is d!

Step-by-step explanation:

because the radius is measuring the distance from any point on the circle to the very center of the circle

What is the answer!??

Answers

Answer:

x=131

Step-by-step explanation:

Hope 131 is the answer to this

How do you subtract fractions

Answers

Answer:

make the denominators ( bottom number ) the same and whatever u do to that do to the top

Step-by-step explanation:

e.g ½ - ⅓

make the common denominator 6

to get from 2 to 6 u times by 3 so it wud be 3/6

and then to get from 3 to 6 u times by 2 so do the same to the numerator (top number) so u get 2/6

3/6 take away 2/6 is 1/6

:)

Step-by-step explanation:

Make sure the denominators (thats the bottom number) are the same!! This is very important!! For example, if you are subtracting 3/10 from 1/2 you are going to multiply 1/2 by 5 (because 2×5 is 10) and get 5/10. Now, what you are going to do is subtract 4 from 5 and get 1/10. I hope this helped!

Heres a couple videos for extra help

https://youtu.be/52ZlXsFJULIhttps://youtu.be/UbUdyE1_b9ghttps://youtu.be/2DPivVFCdqA

what is 1/2 divided by 1/6?

Answers

Answer:

3

Step-by-step explanation:

1/2 ÷ 1/6

flip to 1/2 x 6 = 3

Answer:

well on calculator wise it is 0.0833333333 but you can just put 0.083 and put a line on top of the three (the line tells u it has a lot of the same number so u don't have to write all those threes) :))))

Step-by-step explanation:

26mm to centi meters

Answers

Step-by-step explanation:

10 mm = 1 cm

26mm = 26 /10 = 2.6 cm

Hope it will help :)

2.Which phrase represents "the sum of 11 and a number"

11-x
11+x
-11+1
-11-x

Answers

B

I’m pretty sure it’s 11+x because x is just a placeholder for a number which can be unknown

Answer:

11+x

Step-by-step explanation:

How do I find the rate of change?
explain as if you were explaining it briefly to a stranger irl

Answers

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

22 t - 26 equals -16 - 25how do I solve this problem ​

Answers

Answer:

-15/22

Step-by-step explanation:

22t-26=-16-25

22t-26=-41

22t=-41+26

22t=-15

t=-15/22

One baseball team played 32 games throughout their entire season. If this baseball team won 24 of those games, then what percentage of their games did they win? Round your answer to the nearest whole number if necessary
show work please​

Answers

Answer:

75%

Step-by-step explanation:

bc that would mean they only loss 8 games and 24 is 75% of 32 i

Find the slope of the line..

Answers

2/3 is the slope, rise over ruj

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope of a line, use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point on the line.

So, this formula requires two points from the line. Reading the graph, we can see that the two points marked on the line are (-3,-4) and (3,0). Thus, use the x and y values of those two points, substitute them in the appropriate order into the formula, and solve:

[tex]\frac{(0)-(-4)}{(3)-(-3)} \\= \frac{0+4}{3+3} \\= \frac{4}{6} \\= \frac{2}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].

A certain bakery sells two sizes of round cakes. The radius of the large cake is 3 times the radius of the small cake. If the top of the large cake has an area of 261 in?, what is the area of the top of the small cake?​

Answers

Let R be the radius of the large cake.
R x R x π = 261
R² = 83.078
R = 9.11

Small cake radius = 9.11/3
small cake radius = 3.038

Area of small cake = 3.038 x 3.038 x π
Area of small cake = 29 in²

3y + 2 = 2y - 5x
y = mx + b form:

Answers

answer:

y= -5x -2

hope it helps

Consider the equation
x
5
− 2 = 11.

Each of these values might be the solution to this equation. Verify the correct solution by substituting each value into the equation. Which is the correct solution?

x = 1.8
x = 2.6
x = 45
x = 65

Answers

Answer:

D) x = 65

Step-by-step explanation:

I just tried B) x = 2.6 and it was wrong.

The true value of x in the equation is 65

How to verify the equation?

The equation is given as:

[tex]\frac{x}5 - 2 = 11[/tex]

When x = 1.8, we have:

[tex]\frac{1.8}5 - 2 = 11[/tex]

[tex]-1.64 = 11[/tex] -- this is false

When x = 2.6, we have:

[tex]\frac{2.6}5 - 2 = 11[/tex]

[tex]-1.48 = 11[/tex] -- this is false

When x = 45, we have:

[tex]\frac{45}5 - 2 = 11[/tex]

[tex]7 = 11[/tex] -- this is false

When x = 65, we have:

[tex]\frac{65}5 - 2 = 11[/tex]

[tex]!1 = 11[/tex] -- this is true

Hence, the true value of x in the equation is 65

Read more about equations at:

https://brainly.com/question/9620916

Can anyone help me please thank you

Answers

Answer:

The first option

Step-by-step explanation:

Because when you multiply the first equation by 2, it sets the -x to -2x which helps cancel the variable out allowing you to easily solve the system of equations.

The answer is the first option because when you multiply the first equation by 2, you can cancel the x’s because when -2+2 is added it equals 0
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