Find the remainder when is divided by (i) (ii) (iii) (iv) (v)

Question

Philoid · Accepted Answer

(i) By long division method, we have

Therefore, the remainder is 0

(ii) By long division method, we have

Therefore, the remainder is

(iii)

Therefore, the remainder is 1

(iv)

Therefore, the remainder is [1 - 3π + 3π² – π³]

(v)

Therefore, the remainder is