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
Natalka [10]
3 years ago
15

Use the long division method to find the result when 6x^3+8x^2+5x+1 is divided by 3x+1​

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

2x^2+2x+1

Step-by-step explanation:

3x + 1 | 6x^3 + 8x^2 + 5x + 1

_____<u> 6x^3 + 2x^2______</u> <-- 2x^2

                       6x^2 + 5x + 1

<u>                       6x^2 + 2x     </u> <-- 2x

                                   3x + 1

<u>                                    3x + 1</u> <-- 1

                                          0 | 2x^2+2x+1

Therefore, 6x^3+8x^2+5x+1 when divided by 3x+1​ is 2x^2+2x+1

You might be interested in
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
ollegr [7]

Answer:

<u>The expression to describe this sequence is Aₙ =  (n - 1) * 1  - 6</u>

Step-by-step explanation:

1. Let's write an expression to describe the sequence which first four terms are as follows:

- 6, -5, -4, - 3.....

Aₙ = (n - 1) * 1  - 6; A₁ = - 6

A₁ = (n - 1) * 1  - 6 = (1 - 1) * 1  - 6 = 0 * 1 - 6 ⇒A₁ = - 6

A₂ = (n - 1) * 1  - 6 = (2 - 1) * 1  - 6 = 1 * 1 - 6⇒ A₁ = - 5

A₃ = (n - 1) * 1  - 6 = (3 - 1) * 1  - 6 = 2 * 1 - 6⇒ A₁ = - 4

A₄ = (n - 1) * 1  - 6 = (4 - 1) * 1  - 6 = 3 * 1 - 6⇒ A₁ = - 3

A₅ = (n - 1) * 1  - 6 = (5 - 1) * 1  - 6 = 4 * 1 - 6⇒ A₁ = - 2

A₆ = (n - 1) * 1  - 6 = (6 - 1) * 1  - 6 = 5 * 1 - 6⇒ A₁ = - 1

A₇ = (n - 1) * 1  - 6 = (7 - 1) * 1  - 6 = 6 * 1 - 6⇒ A₁ = 0

5 0
3 years ago
Is 0.009 greater or less than .9
Ede4ka [16]
It is equal to. I think its because the zeros don't count
4 0
3 years ago
An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below t
ludmilkaskok [199]
Hello. How are you. Do u take K12
3 0
4 years ago
When given h(x)=-x+4, solve for x when h(x)=0
kow [346]

Answer:

x=4

Step-by-step explanation:

h(x)=-x+4

h(x)-0+4

h(x)=4

7 0
3 years ago
Look for a pattern to find the value<br> of the ? in the diagram below.
Art [367]

Answer:

please add the diagram

3 0
3 years ago
Other questions:
  • You ride a bicycle at a speed of 18 miles per hour. I am 3 miles behind my friend. My friend rides a bicycle at a speed of 12 mi
    11·1 answer
  • What is a word problem for (5×2)+4
    13·2 answers
  • For the current year, a business has earned (but not recorded or received) $200 of interest from investments. Demonstrate the re
    8·1 answer
  • On a scale drawing of a community garden, 1 inch equals 50 feet. The actual dimensions of the community garden are 175 feet by 2
    8·2 answers
  • Which equation shows y=34x−52y=34x−52 in standard form?
    14·1 answer
  • What is the value of the digit 6 in the number 896,000
    10·2 answers
  • Find an<br> explicit formula for the geometric sequence 120, 60, 30, 15, ....
    12·2 answers
  • HELP HELP PLEASEEEEE CORRECTLYYYYT
    10·1 answer
  • I need the answers bad !
    5·2 answers
  • Examine the following graph, where P(x) is the preimage and I(x) is the image after a transformation.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!