If f(x) = 4x5 + 3x2 + 1, then what is the remainder when f(x) is divided
by X – 2?

141

Step-by-step explanation:

The given polynomial to us is ,

And we need to find out the remainder when it is divided by ,

Using the Remainder Theorem , firstly equate with zero . So that ,

Add 2 on both sides ,

Therefore here the remainder will be .Now substitute x = 2 in f(x) .

Simplify the exponents ,

Solve the brackets ,

Add the terms ,

Hence the remainder is 141 when f(x) is divided by (x-2) .