If f (x) = 4x^5+5x^4+1, then what is the remainder when f (x) is divided by x-2

Remainder 209

Step-by-step explanation:

f (x) = 4x⁵+5x⁴+1

x-2=0⇒x=2

Putting x=2 in the above equation

f (x) = 4 (2) ⁵ + 5 (2) ⁴+1

f (x) = 4 (32) + 5 (16) + 1

f (x) = 128 + 80+1

f (x) = 209