Question

How do you use the remainder theorem to determine the remainder when `5w^3 – 2w + 10` is divided by w + 3?

Answer 1

Remainder is `-119`

Explanation:

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

Hence when `f(w)=5w^3-2w+10` is divided by `(w+3)`, the remainder is given by `f(-3)`

ie. `5(-3)^3-2(-3)+10`

= `5xx(-27)+6+10`

= `-135+16=-119`