All categories

2 years ago

Use long division or synthetic division to find the quotient of 2x^3+x^2+1 / x+1

Mathematics

1 answer:

gogolik [260]2 years ago

7 0

Answer:

The quotient is 2x^2 - x + 1.

Step-by-step explanation:

If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:

-1 / 2 1 0 1

-2 1 -1

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

2 -1 1 0

The quotient is 2x^2 - x + 1. The coefficients were obtained through synthetic division.

You might be interested in

The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all

katovenus [111]

Answer:

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

12% ⇔ $9000

then

100% ⇔x

the ratio is

$\frac{12}{9000}=\frac{100}{x}\\$

Now, solve for x

$\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\$

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is $\frac{75000}{price\ of\ the\ car} \\$

$\frac{75000}{price\ of\ the\ car} \\$

now, price of the car* number of the car = 75000

where

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Have a nice day

6 0

3 years ago

(2x^2+4x+3) - (4x^2 -2x-3)

ankoles [38]

Answer:

x^{2}+6x+6 is your answer

7 0

3 years ago

Read 2 more answers

Which statement defines a mutual fund?

lilavasa [31]

Answer: A group of investments that many individual investors hold in common.

6 0

3 years ago

Read 2 more answers

Irving can I remember the correct order of the five digits on his ID number he does remember that the ID number contains the dig

Cloud [144]

Answer: $\frac{27}{125}$

Step-by-step explanation:

Here the total numbers are 1, 4, 3, 7, 6

Since the total number of possible arrangement = $5\times 5 \times5 \times 5 \times 5=5^5$

The total number of the odd numbers in the given numbers = 3

Thus the possible arrangement that the first three digits will be odd numbers = $3\times 3\times 3\times 5\times 5=3^3\times 5^2$

Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement = $\frac{3^3\times 5^2}{5^5} = \frac{3^2}{5^{5-2}}$

= $\frac{3^3}{5^3} = \frac{27}{125}$

5 0

3 years ago

Check my answer? Please, no joking around guys.

WITCHER [35]

This is a right angle triangle
So we can use the tangent
tan x = 5/20
tan x= 0.25
x=tan^-1 (0.25)
x= 14.04 degrees
So yes you're correct

3 0

3 years ago

Read 2 more answers