Answer:
[tex]4x^2-10x+11+\frac{6}{2x+5}[/tex]
Step-by-step explanation:
The given functions are:
[tex]f(x)=8x^3-28x+61[/tex] and [tex]g(x)=2x+5[/tex]
By algebraic properties of functions;
[tex]\frac{f(x)}{g(x)}=\frac{8x^3-28x+61}{2x+5}[/tex]
We perform the long division of the two polynomials as shown in the attachment.
Therefore:
[tex]\frac{8x^3-28x+61}{2x+5}=4x^2-10x+11+\frac{6}{2x+5}[/tex]
The last choice is correct
