Evaluate each function at the given value using synthetic substitution

By the polynomial remainder theorem, the remainder upon dividing a polynomial by a linear factor is equal to the value of .

So what you need to do is use synthetic division to compute the quotient and remainder of



Synthetic division yields

-4 ... | ... -3 ... -17 ... -24 ... -11 ... 11
... ... | ...     ...   12 ...  20 ...  16 ...-20
------------------------------------------------
... ... | ... -3 ..... -5 ..... -4 ...... 5 .... -9

which translates to a quotient of and a remainder term of . So .