How can I solve this? I can't understand

Question

Let f(x) = 4x²+6x+15.

When f(x) is divided by x+3 the remainder is   

When f(x) is divided by x+4 the remainder is   

When f(x) is divided by x the remainder is   

When f(x) is divided by x−2 the remainder is   

When f(x) is divided by x−5 the remainder is

Answer 1

When a polynomial function f(x) is divided by x - c, the remainder is f(c).

So, when f(x) is divided by x + 3 (that is x - (-3)), the remainder is f(-3) and when f(x) is divided by x - 2, the remainder is f(2), etc.