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.