Question

What is the remainder when `(x^5 + 2x^4 - 3x + 3) div( x - 1)`?

Answer 1

`(x^5+2x^4-3x+3)div(x-1)`
has a remainder of `3`

Explanation:

The Remainder Theorem says
`color(white)("XXX")f(x)/(x-a)` has a remainder of `f(a)`

If `f(x) = x^5+2x^4-3x+3`
then
`color(white)("XXX")f(1)=1+2-3+3=3`