by the remainder theorem what can be said about the polynomial function z(x) if z(-4)=5. the remainder must be _______ when z(x) is divided by ________

Answer 1

The remainder theorem states that the remainder of a polynomial f(x) divided by x-a is given by f(a).

So in this case z(-4)=5, it is saying the remainder must be 5 when z(x) is divided by x+4.

Note: We get x+4 because x-(-4)=x+4