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
inn [45]
1 year ago
10

Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.

Mathematics
1 answer:
Vanyuwa [196]1 year ago
6 0

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

You might be interested in
Solve one third plus seven ninths equals blank
ruslelena [56]

Answer:

10/9ths or 1& 1/9

Step-by-step explanation:

1/3 + 7/9 =

× 9/9. × 3/3

9/27 + 21/27 = 30/27

OR 1 & 1/9

5 0
3 years ago
2 divided by one over 3 the awnser is a fraction
slamgirl [31]

Answer:

That would equal \frac{2}{3} or approximately 0.67. If this helps, please rank Brainliest. Thanks!

4 0
3 years ago
Read 2 more answers
7-4????????????????????
polet [3.4K]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of the following exponential equations could be represented by the table below?
kenny6666 [7]

Answer:  Its 3 ^(x-2) + 2

Step-by-step explanation:

Because y increases when x increase base is  3. Try

x = 2  gives 3^(-1) + 2 = 2,33 and x = 3 gives 3^0 + 2 = 3

8 0
2 years ago
Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were
anyanavicka [17]

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter?
    6·1 answer
  • What is 258/300 as a decimal and a percent
    12·1 answer
  • Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
    7·1 answer
  • The perimeter of a rectangle is 84 cm. if the length is 25 cm, how wide is the rectangle?
    15·1 answer
  • The expression -6x-7(4+3x)is equivalent to
    12·1 answer
  • 2/5 of the candy in a bag are mints. There are 34 mint candies. How many candies in total are in the bag
    6·1 answer
  • Please help asap! i just need the answers. brainliest to first CORRECT answer!! thanks!
    6·2 answers
  • Please helppp ppppñpñp
    12·1 answer
  • 12.99 marked down 25%
    5·1 answer
  • you are filling your tire with air. the recommended pressure is 41 pounds per square inch. you read your owner's manual and find
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!