Question

Find the remainder when x⁴-x³-2x²+X+1 is divided by x-1. Please answer this with full method. Urgently

Answer 1

Solution:'


given :-

(x⁴-x³-2x²+X+1)/x-1

qoutient = x^3-2x+3 remainder = 4

Answer 2

By remainder method
p(x) = x^4 - x ^3 - 2x^2 + x + 1
g(x) = x - 1 = 0
x = 0 + 1
x = 1
p(1) = 1^4 - 1^3 - 2×1^2 + 1 + 1
= 1 - 1 - 2 + 1 + 1
= 0