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
NARA [144]
3 years ago
7

What is the quotient when 2x3 + x + 3 is divided by x + 1?

Mathematics
2 answers:
sergey [27]3 years ago
5 0

2x3+x+3x+1

Combine Like Terms:

=2x3+x+3x+1

=(2x3)+(x+3x)+(1)

=2x3+4x+1

Answer:

=2x3+4x+1

o-na [289]3 years ago
5 0

Polynomial Synthetic Division: A Binomial of the Form (ax + b).

Divide by(Dividend): 2x^3 + x + 3

Divisor: x + 1

Your input: find

2 x^ 3 + x + 3/ x+1

2x^3 + x + 3/x+1

using synthetic division.

Write the problem in a division-like format.

To do this:

Take the constant term of the divisor with the opposite sign and write it to the left.

Write the coefficients of the dividend to the right (missed terms are written with zero coefficients).

x^3 x^2 x^1 x^0

- 1 ===> 2 0 1 3

Step 1:

Write down the first coefficient without changes:

- 1 ===> 2 0 1 3

2

Step 2:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

- 1 ===> 2 0 1 3

( - 1) . 2 = - 2

2 0 + ( - 2) = - 2

Step 3:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

- 1 ===> 2 0 1 3

- 2 ( - 2). ( - 2) = 2

2 - 2 1 + 2 = 3

Step 4:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

- 1 ===> 2 0 1 3

- 2 2 ( - 1) . 3 = - 3

2 - 2 3 3 + - 3 = 0

We have completed the table and have obtained the following resulting coefficients:

(2, −2, 3, 0)

(2, −2, 3, 0) .

All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus, the quotient is:

2 x^ 2 −2x +3

2x^2 − 2x +3 , and the remainder is ( 0, 0) .

Hence: 2x^3 + x + 3/x + 1 = 2x^2 - 2x + 3 + 0/x + 1 = 2x^2 - 2x + 3

Answer: 2x^3 + x + 3/x + 1 = 2x^2 - 2x + 3 + 0/x + 1 = 2x^2 - 2x + 3

Therefore, Your answer is, Letter Choice, (B), 2x^2 - 2x + 3

Hope that helps!!!! : )

You might be interested in
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
Dmitrij [34]

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

6 0
3 years ago
What is the value of x in the figure Pls help​
Murljashka [212]

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

7 0
3 years ago
On tuesday bill bought nine posters. On wednesday half of all the posters that he had were destroyed. On thursday there were onl
Anettt [7]
(x+9)/2+=24
        *2   I *2
      x+9=48
         -9    -9
x=39
4 0
3 years ago
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet be
elena55 [62]

Answer:

75ft

Step-by-step explanation: angles

3 0
3 years ago
Write an algebraic expression.<br><br> The quotient of -9 and y
Alenkasestr [34]
Hey there!

“The quotient of -9 and y”

• Facts When you come across the word “QUOTIENT” in algebra/ math in general it usually MEANS you’re DIVIDING both your numbers by each other

• Guide: -9 will be your numerator and y would be your denominator (or -9 would be in your front whereas y will be in the back)

So, based on your guide we have your ANSWER should look like: “-9 ÷ y”

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
3 0
2 years ago
Read 2 more answers
Other questions:
  • Find the length of the unknown side. Round your answer to the nearest whole number. (4 points) Image of a right triangle with le
    6·1 answer
  • Farimah and Helio are standing 15 ft. apart from each other and looking up at a kite that is with the flying between them. Farim
    9·1 answer
  • A bunch of bananas cost $4, a pineapple cost $2 more than a bunch of bananas, and 4 apples cost one-half of a pineapple.
    5·1 answer
  • Pollsters often use randomly selected digits between 0 and 9 to generate parts of telephone numbers to be called. What is the di
    9·1 answer
  • Need help right now!!!!!!
    11·2 answers
  • What is 156x34=_____
    5·2 answers
  • I NEED HELP AND QUICK.
    6·1 answer
  • Jo had $5 more than Nate and together<br> they had $43. How much did Nate have?
    11·2 answers
  • Define energy .....?​
    6·1 answer
  • Please help no links please(01.05 MC)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!