First find the value of x in second polynomial which is equal to x=-2.
Then ,put the value of x in the first polynomial and find the remainder.
f(x)=[(-2)×(-2)×(-2)×(-2)]+(-2)³+2(-2)²+3×(-2)+4
=16+(-8)+2×4+(-6)+4
16-8+8-6+4
8+2+4
10+4
14=remainder.
Do tell is it right.