<u>Answer</u><u>: </u>
The correct option is C. 
<u>
Explanation:
</u>
<u>Given:</u>
Dividend = -2x^3-5x^2+4x+2
Divider =(x+2)
<u>Solution</u>:
Now by using the division method , we will find out the quotient and remainder of the given equation
And the equation will become

So , We will get the quotient =
And Remainder = -10
Hence the Correct option which perfectly satisfy the given equation is C.
I couldn't find anyone that led to the answer 20 but the one that ended closest to 20 is the last one.
Given a complex number in the form:
![z= \rho [\cos \theta + i \sin \theta]](https://tex.z-dn.net/?f=z%3D%20%5Crho%20%5B%5Ccos%20%5Ctheta%20%2B%20i%20%5Csin%20%5Ctheta%5D)
The nth-power of this number,

, can be calculated as follows:
- the modulus of

is equal to the nth-power of the modulus of z, while the angle of

is equal to n multiplied the angle of z, so:
![z^n = \rho^n [\cos n\theta + i \sin n\theta ]](https://tex.z-dn.net/?f=z%5En%20%3D%20%5Crho%5En%20%5B%5Ccos%20n%5Ctheta%20%2B%20i%20%5Csin%20n%5Ctheta%20%5D)
In our case, n=3, so

is equal to
![z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]](https://tex.z-dn.net/?f=z%5E3%20%3D%20%5Crho%5E3%20%5B%5Ccos%203%20%5Ctheta%20%2B%20i%20%5Csin%203%20%5Ctheta%20%5D%20%3D%20%285%5E3%29%20%5B%5Ccos%20%283%20%5Ccdot%20330%5E%7B%5Ccirc%7D%29%20%2B%20i%20%5Csin%20%283%20%5Ccdot%20330%5E%7B%5Ccirc%7D%29%20%5D)
(1)
And since

and both sine and cosine are periodic in

, (1) becomes
there are 18 marbles all together
4 are red
18÷4= 4.5
percent 4.5%
fraction 4 1/2
decimal 4.5
I'm not sure about the second hald but I hope this helped ^^