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
andriy [413]
3 years ago
5

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

Mathematics
2 answers:
stepan [7]3 years ago
5 0

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest.

The attached figure shows the quotient given by:

x ^ 3 + x ^ 2 + x + 1

Answer:

Quotient: x ^ 3 + x ^ 2 + x + 1

See attached image

ivanzaharov [21]3 years ago
3 0

Answer:

Quotient is: x^3+x^2+x+1  

Step-by-step explanation:

We need to solve (x^4-1) ÷  (x-1) using synthetic division.

In synthetic division we write the coefficients in decreasing order of their powers. We have x^4-1 that can be written as: 1x^4 + 0x^3 + 0x^2 + 0x -1

so our coefficients will be

1 0 0 0 -1

and for synthetic division, we take the constant term of divisor and change its sign.

We have x-1, constant term -1 so, our value will be 1.

The division is attached in the figure below.

Quotient is: x^3+x^2+x+1  

You might be interested in
1. Solve proportion 12/15 = 18/b
omeli [17]
We solve the as follows:

<span>1. Solve proportion 12/15 = 18/b
</span>( 12/15 = 18/b ) b<span>
( 12b/15 = 18 ) 15/12
b = 18(15/12)
b = 45/2

2. Solve equations 

A. -x + 4 = x +6 
</span>-x + 4 - x = x +6 - x
<span>-2x + 4 - 4 = 6 - 4
-2x = 2
x = -1

B. 5n + 7 =7(n+1) -2n 
5n + 7 = 7n + 7 - 2n
5n -7n + 2n = 7 - 7
0 = 0

C. -4(p+2) + 8 = 2(p-1) - 7p + 15
-4p - 8 + 8 = 2p - 2 - 7p + 15
-4p + 7p - 2p = -2 + 15 + 8 - 8
p =13

3. Solve a/b x - c = 0 for x 
</span>a/b x - c = 0 
( a/b x = c ) b/a
x = bc / a
3 0
3 years ago
Solve using substitution.
alexandr1967 [171]
You take the first equation and make a value for y. So 6x + y =7 change it to :
y = -6x + 7
Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be :
8x + 9(-6x + 7) =17
Now do distributive property and you get :
8x + -54x +63 =17
Now combine like terms ;
-46x +63 =17
-46x =-46
x = 1
Now replace 1 for X value and we can get the value of Y .
Y=1
X=1
8 0
3 years ago
A soccer field for a youth league has an area of 4000 square yards and is 60% longer than it is wide what is the length of the f
olasank [31]

Let

width,w

length, l = 1.6w ...eqn 1

area, a = l × w ...eqn 2

subst for l in eqn 2

a = 1.6 w × w = 4000

4000 = 1.6 w^2

w^2 = 2500

w = 50

subst for w in eqn 1

l = 50 x 1.6 = 80

length = 80 yds

width = 50 yds

4 0
3 years ago
I will give lots of points if you answer these few questions
docker41 [41]

Answer:

1. 20x+40

2. 6f+6g

3. 77-28x

Step-by-step explanation:

<u>Use distributive property for all</u>

1) 10(2x+9)-50

20x+90-50

20x+40

2) 6(f+g)

6f+6g

3) 77-28x  

4) 3.2(5w+3)

16w + 9.6

5 0
3 years ago
Read 2 more answers
Isnt it called r.ape if someone doesnt want you to do the nasty
Ivenika [448]

Answer:

uhhhh yeah :I why though 0-0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Subtracting 6 from the product of 4 and a number results in the number added to 27.
    15·1 answer
  • I will give brainliest answer
    15·1 answer
  • Mutleys journey began on a boat, 2 feet above sea level. He dove down to twelve feet below sea level and then returned to the su
    11·1 answer
  • Hannah has $500. She buys a camera for $435 and 4 other items for $9 each. Now Hannah wants to buy speakers for $50. Does she ha
    11·1 answer
  • 3. Atile warehouse has Inventory at hand and can put in for a
    7·1 answer
  • A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trap
    9·1 answer
  • Which one of these polls is the correct answer? Please help.
    9·1 answer
  • What is the volume of this sphere?
    13·1 answer
  • What is the length of the diagonal d, of the rectangular prism shown below? Round to nearest tenth
    12·1 answer
  • PLS HELPPP WHAT IS THE ANSWER???
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!