Question

If a polynomial x4 – 4x2 + x3 + 2x + 1 is divided by x – 1, then remainder will be

(1) 0

(2) 1

(3) 9

(4) – 1

Answer 1

Correct option: (2) 1

Explanation:

P(x) = x4 – 4x2 + x3 + 2x + 1

P(x) ÷ (x – 1)

Remainder = P(1) = (1)4 – 4(1)2 + (1)3 + 2(1) + 1

= 1 – 4 + 1 + 2 + 1 = 1