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]
3 years ago
6

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

Mathematics
1 answer:
Sonbull [250]3 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
Khan academy again smh. <br>Please answer! Thanks! ​
Vlad [161]

Answer:

The answer is B

Step-by-step explanation:

x/-y is equivalent to -(x/y)

6 0
3 years ago
Which intersection forms a parabola?
Brums [2.3K]
The answer is B. Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.
6 0
3 years ago
Read 2 more answers
A gasoline service station offers 20 cents off the regular price per gallon every tuesday. what equation relates the discounted
Leni [432]
R - 0.20 < r would be your answer
3 0
3 years ago
THIS IS URGENT I AM BEING TIMED IF YOU ANSWER I WILL MARK YOU BRAINLYIST.
lapo4ka [179]

Answer:

It's 0.3. Hope this helps!

Step-by-step explanation:

3 0
3 years ago
Simplify: 5x - 12y + 8x + 2x² + 4x²
natali 33 [55]

Answer:

Your answer is: 6x^2-12y+13x

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

7 0
3 years ago
Other questions:
  • 4. Jerry currently has an account balance of $1,109.80. His initial deposit on the account was $775 and it earned 2.7% simple in
    6·2 answers
  • Sebastian's pool is filled with 270 cubic meters of water. The base of the pool is 15 m long and 9 m wide. What is the height of
    6·1 answer
  • Subtract the second equation from the first<br> 6x + 5y =16<br> - (6x + 2y=10)
    5·1 answer
  • Jerome has a penny, a nickel, a dime and a quarter. how many different two-coin sums can he make?
    7·1 answer
  • Geometry, please HELP!! Will mark you brainiliest!!!
    15·2 answers
  • Which model represents -2 -3?
    11·1 answer
  • Type the correct answer in each box. If necessary, use / for the fraction bar(s).
    15·2 answers
  • What is 16 divided by 160 equal to
    10·2 answers
  • Help please easy 8th grade math!!!❤️❤️❤️❤️❤️❤️❤️❤️❤️The ages of Moe, Larry, and Curly are consecutive odd numbers, where Moe is
    14·1 answer
  • Find the missing side for each triangle below
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!