1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
2 years ago
6

What is the quotient of (2x^(3)+3x^(2)+5x-4)/(x^(2) + x + 1 )?

Mathematics
1 answer:
Sonbull [250]2 years ago
7 0

Answer:

The quotient is the outcome of the division one number or expression known as the dividend, by another number or expression known as the divisor

The option that gives the correct quotient is;

\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}2⋅x+1+x2+x+12⋅x−5

Where, the quotient is 2·x + 1, and the reminder is 2·x - 5

The reason the above option is correct is as follows:

The given dividend is 2·x³ + 3·x² + 5·x - 4

The divisor is x² + x + 1

By long division of a polynomial we have;

2·x + 1(Quotient)

(2·x³ + 3·x² + 5·x - 4) ÷ (x² + x + 1 )

2·x³ + 2·x² + 2·x

0    +   x²  + 3·x - 4

{}           x² + x    + 1

{}           0  + 2·x - 5

Therefore, we have;

\dfrac{2\cdot x^3 + 3 \cdot x^2 + 5 \cdot x - 4}{x^2 + x + 1} = 2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}x2+x+12⋅x3+3⋅x2+5⋅x−4=2⋅x+1+x2+x+12⋅x−5

Therefore, the correct option is;

\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}2⋅x+1+x2+x+12⋅x−5

Step-by-step explanation:

or u could use this answer cluck on the Picture to see the rest :) PLEASE FIVE ME BRAINLIST

You might be interested in
James is 1.63 meters tall. Write James’s height in word form. Explain how you Found your answer.
kobusy [5.1K]

Answer:

James is 1 meter and 63 centimeters tall

Step-by-step explanation:

James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;

1.63 - 1 = 0.63 meters

The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;

0.63 * 100 = 63 centimeters

We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall

7 0
3 years ago
Which theorem or postulate proves that △ABC and △DEF are similar?
Harlamova29_29 [7]
3 sides proportional
3 0
3 years ago
Read 2 more answers
Can you help me plssssssssss
LenaWriter [7]

Answer: 3

Step-by-step explanation: your welcome even if im wrong

7 0
3 years ago
Read 2 more answers
Solve the system of equations. <br><br> y=x+5 <br><br> y=-x+7
spin [16.1K]

Answer:

(1,6)

x = 1, y = 6

See attachment for the graph

Step-by-step explanation:

y=x+5  

y=-x+7

Using the elimination process

     y=x+5  

-     y=-x+7

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

     0=2x-2

     2=2x

      1=x

      x=1

Substitute x = 1

y = x + 5

y = 1 + 5

y = 6

4 0
3 years ago
Read 2 more answers
PLS HELP. Find the value of a, AB, BC, CD, AD in the parallelogram. Pls show work.
BaLLatris [955]

Answer:

A= 21

Step-by-step explanation:

a=19.5+1.5=21

21+2.9=23.9

2(21)-18.1

Lines AB and CD are congruent.

6 0
2 years ago
Other questions:
  • Number 23 pleaseeeee
    15·1 answer
  • 3x-6y=12<br><br> Please solve for y and show you work.
    10·1 answer
  • NEED HELP, PLEASE SHOW WORK. :(((
    7·1 answer
  • What is after 1 <br> A<br> B<br> c<br> dasdsadasdsadasdasdsad
    9·1 answer
  • A pet store has cats. Here are their weights (in pounds).
    5·2 answers
  • Which point is a solution to the equation?
    7·1 answer
  • How do you calculate tan^-1 (10/53)
    15·1 answer
  • Which graph shows a line with a slope of 3?
    15·1 answer
  • Choose the slope-intercept form of 3x + 2y = 5
    12·1 answer
  • You decide you need a new computer. The cost of the computer is $840. However, the store also offers a rent to own option with w
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!