Answer:
[tex]x^2-2x+4-\dfrac{15}{x+2}[/tex]
Step-by-step explanation:
Synthetic division is a useful tool for problems of this sort. (see below)
__
Another way to work this one is to make use of the remainder theorem. The remainder from division by x+2 will be the value of the function at x=-2 (the value of x that makes the divisor be zero).
(-2)³ -7 = -8 -7 = -15
Only one answer choice shows a remainder of -15, and all agree on the quotient.
[tex]x^2-2x+4-\dfrac{15}{x+2}[/tex]
