One way to do this would be to use synthetic division. Use 4 as the divisor and use the coefficients 4, -2, -52, -15, 0 (yes, the last coeff. is a zero):
__________________
4 / 4 -2 -52 -15 0
16 56 16 4
------------------------------
4 14 4 1 4 The remainder is 4. That means that if you divide the given 4th order polynomial by (x-4), the remainder is 4.
Note also, that the value of the polynomial, when x = 4, is 4.
