Question

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

Answer 1

Remainder 209

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