Question
Given the identity x^4-2x^3+ax^2-2=x(x-1)(x+1)Q(x)+4x^2+bx+c , where Q(x)is a polynomial,
(i)state the degree of Q(x)
(ii)find the values of a,b and c ,and hence state the remainder when x^4-2x^3+ax^2-2 is divided by x^3-x .
(i)state the degree of Q(x)
(ii)find the values of a,b and c ,and hence state the remainder when x^4-2x^3+ax^2-2 is divided by x^3-x .