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
denis23 [38]
2 years ago
8

Can someone please help me workout this problem? If the quotient obtained by dividing 8x^4 - 2x^2 + 6x - 7 by 2x+1 is equal to 4

x^3 + px^2 - qx +3, then find the remainder and also the values of p and q.
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
5 0

Answer:

The answer to your question is p = -2 q = -6  remainder = -10

Step-by-step explanation:

Data

Dividend = 8x⁴ - 2x² + 6x - 7

Divisor    = 2x + 1

Quotient = 4x³ + px² - qx + 3

Process

1.- Divide using long division

                                4x³ - 2x² + 3                          

                   2x + 1   8x⁴ + 0x³ - 2x² + 6x - 7

                             - 8x⁴ - 4x³

                                 0   - 4x³ - 2x²

                                      + 4x³ +2x²

                                          0       0   + 6x - 7

                                                          -6x - 3

                                                             0 - 10    Remainder

         px² = -2x²  then  p = -2

         -qx = 6x     then q = -6

You might be interested in
1. VIDEOTAPES Lyle is putting his
andrezito [222]

Answer:

12 divided by 1.5 = 8 tapes

Hope this helps you

5 0
2 years ago
Read 2 more answers
I need help with steps of solving this equation.
saveliy_v [14]

Answer:

x = {-1/5, 1}

Step-by-step explanation:

(5x - 2)² - 1 = 8

Add 1 to both sides

(5x - 2)² = 9

Take the square root of both sides

5x - 2 = ±3

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

<u>Solution I</u> for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

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

<u>Solution II</u> for 5x - 2 = -3

5x - 2 = -3

add 2 to both sides

5x = -1

Divide both sides by 5

x = -1/5

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

x = {-1/5, 1}

6 0
2 years ago
Juan's family and Ethan's family go to a food stand.
Rasek [7]

Answer:

1 hotdog is $3.5.

1 drink is $2.

Step-by-step explanation:

18.50= 3x+4y(times 5)

25.50=5x+4y(times -3)

92.5=15x+20x

-76.5=-15x+-12y

16=-8y

2=y

18.50=3x+4(2)

10.50=3x+8

10.50=3x

3.5=x

           

3 0
2 years ago
How do you sketch a graph of a function?
Illusion [34]

The graph of a function can be sketched by plotting points.

First and foremost, it is to be determined if the function is odd/even or periodic. Next, we find the x and y intercepts. To sketch a graph of a function, one can start by plotting a few points that lie on the graph using the coordinates given by the function. For example, if the function is y = x², then points (0, 0), (1, 1), and (2, 4) can be plotted by substituting the values of x into the function to find the corresponding values of y.

Subsequent to this, one can connect the points with a smooth curve to form the graph of function. If the function is a straight line, the graph will be a straight line. If the function is quadratic, the graph will be a parabola. The graph may take on a more complicated shape for more complex functions.

Read more about the graph of a function on:

brainly.com/question/26857518

#SPJ4

4 0
1 year ago
How do I find the perimeter of a triangle with sides 3ft 8in., 2ft 10in., and 4 ft?
Dmitriy789 [7]
Formula for triangle perimeter is: a + b + c. In this scenario we have:

a = 3 feet 8 inches
b = 2 feet 10 inches
c = 4 feet

a + b + c =
= 3 ft + 8 in + 2 ft + 10 in + 4 ft =
= 9 ft + 18 in

We know that 1 foot is 12 inches, so we can simplify the result to this form:

10 ft + 6 in

or:

<u>10.5 feet</u>
4 0
3 years ago
Other questions:
  • name the lengths of the sides of three rectangles with perimeters of 14 units. use only whole numbers.
    9·1 answer
  • Find the distance between the points (2,9) and (8,2)
    11·1 answer
  • Which of the following best represent the average rate at which infants grow in height during the first four years after birth?
    12·1 answer
  • How do you write the sum of 17 and a number in algebraic expression
    5·1 answer
  • A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). the pasture must contain 20,000 square meters
    11·1 answer
  • What's the answer???
    5·1 answer
  • PLEASE HELP 34 POINTS
    14·2 answers
  • Solve for x.<br> (5x - 24)<br> (8x + 9)
    13·1 answer
  • Help stranger's ( ◜‿◝ )​
    11·1 answer
  • Which angle is a vertical angle with AngleEFD?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!