Explain two ways that you can solve for R in the following division statement. Then, use one of your methods to find R.

Question

x^3+4x^2-3x=(x-1)(x^2+5x+2)+R

could you divide x^3+4x^2-3x by (x-1) to get the quotion of (x^2+5x+2)+ the remainder which would be r?

Also what would be another method to solve this?

Answer 1

that is one way.

The other way is to use the Remainder Theorem and evaluate f(1).

That is the remainder R.

Answer 2

Thanks!