# What the following polynomial division is performed, what is the right choice for Question 20? http://postimg.org/image/w9pytyvpr/

*print*Print*list*Cite

Expert Answers

jeew-m | Certified Educator

Using remainder theorem if a polynomial` f(x)` is divided by `(x-a)` then the remainder is given by `f(a)` .

`f(x) = x^3-2x+4`

We want to divide `f(x)` by `(x-2)` . That means `a = 2` .

So by remainder theorem;

Remainder `= f(a) = f(2) = 2^3-2xx2+4 = 8`

*So the remainder is 8. The correct answer is given in option a)*

Further Reading: