Question

if x-4 and x+4 are factors of 2x^3-x^2+cx+d, determine the values of c and d, and any remaining factors

Answer 1

a quick division shows that

(2x^3-x^2+cx+d)/(x^2-16) has a remainder of (c+32)x + (d-16)
you want a remainder of zero, so ...