Respuesta :

Answer:

The correct option is C.  [tex]-2x^2-x+6, R(-10)[/tex]

Explanation:

Given:

Dividend = -2x^3-5x^2+4x+2

Divider =(x+2)

Solution:

Now by using the division method , we will find out the quotient and remainder of the given equation  

And the equation will become  

[tex]-2x^3-5x^2+4x+2=(x+2)(-2x^2-x+6)-10[/tex]

So , We will get the quotient =[tex]-2x^2-x+6[/tex]

And Remainder = -10

Hence the Correct option which perfectly satisfy the given equation is C.