Question

Help me find the remainder please

Answer 1

This result follows from the remainder theorem: the remainder upon dividing f(x) by x - c is exactly f(c).

So if

$f(x)=5x^5+4x-3$

then the remainder upon dividing this by x - 2 is f(2), or

$f(2)=5\cdot2^5+4\cdot2-3 = \boxed{165}$