Find the remainder when x 3 + 3x 2 + 3x + 1 is divided by
(i) x + 1 (ii) (iii) x
(iv) x + π (v) 5 + 2x
(i) x + 1
By long division,
Therefore, the remainder is 0.
(ii)
By long division,
Therefore, the remainder is.
(iii) x
By long division,
Therefore, the remainder is 1.
(iv) x + π
By long division,
Therefore, the remainder is
(v) 5 + 2x
By long division,
Therefore, the remainder is