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
Brums [2.3K]
3 years ago
7

What is the quotient of (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?

Mathematics
2 answers:
Gekata [30.6K]3 years ago
7 0

Answer:

The quotient is  3x^3 + 6x^2 +  8x + 24  + 47/(x - 2).

Step-by-step explanation:

We can use long division to solve this.

We need to add 0x^3 to the expression.

          3x^3 + 6x^2 +  8x + 24   <--------- Quotient.

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

x - 2 )  3x4 – 0x^3 - 4x2 + 8x – 1

          3x^4-6x^3

                    6x^3 - 4x^2

                    6x^3 -12x^2

                             8x^2 + 8x

                             8x^2 -16x

                                        24x - 1

                                         24x - 48

                                                   47  <----- remainder

Genrish500 [490]3 years ago
3 0

Answer:

3{x}^{3} + 6{x}^{2} + 8x + 24 + \frac{47}{x - 2}

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

2| 3 0 −4 8 −1

↓ 6 12 16 48

________________

3 6 8 24 47 → 3{x}^{3} + 6{x}^{2} + 8x + 24 + \frac{47}{x - 2}

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [3x⁴ - 4x² + 8x - 1]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x³, the 6x² follows right behind it, green then 8x, 24, and finally, your remainder of 47, which gets set over the divisor of x - 2,<em> </em>giving you the quotient of 3{x}^{3} + 6{x}^{2} + 8x + 24 + \frac{47}{x - 2}.

I am joyous to assist you anytime.

You might be interested in
It rained 7 times during our holiday. If it rained in the morning, it was sunny in the
TEA [102]

Answer:

E= 11

Step-by-step explanation:

5 0
3 years ago
Shape that s not trapezoid
neonofarm [45]

Answer:hexagon square

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
According to Newton’s third law, for every action, there is an equal and opposite
Furkat [3]
True? I dont know what you're trying to ask. if you're asking whether or not it's true, it is.
5 0
3 years ago
Read 2 more answers
Identify the variable expression that is not a polynomial. A. 23 B. + 2 C. y + 1 D. x12
myrzilka [38]
A polynomial consists of several terms so A.23
4 0
3 years ago
A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x + 1 2 for the line of best fit
nordsb [41]

Answer:

the answer is c as you see

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Which of the following losses would be covered by an insurance policy with comprehensive coverage? The car radiator develops a l
    11·1 answer
  • the volume of a candle is 8 cubic inches . what is the volume of a similar candle that is larger by a scale factor of 1.5
    6·2 answers
  • A group conducted a poll of 2022
    15·1 answer
  • Hey can you please help! posted picture of question
    5·1 answer
  • How many feet of shelves will the library have after the new shelves are installed?
    11·1 answer
  • the location of X Y is shown in the coordinate plan which of the following is closest to the length of X Y​
    14·1 answer
  • Stock in Company ABC went from $26 a share to $14 a share. What is the percent of change in the price of a share of stock in the
    6·1 answer
  • Which of the following statements must be true about this diagram? Check all that apply.
    12·1 answer
  • Using the Addition Method, solve for x in the following system of linear equations.
    5·1 answer
  • use the plot of the concentration of cu(no3)3 versus absorbance provided. if the absorbance of an unknown was determined to be 0
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!