Question

divide x cube minus 3 x square minus x + 3 by X + 1 and verify the division algorithm​

Answer 1

if we divide the answer will be x square minus 4x +3 and the division algorithm says that dividend = divisor × quotient + remainder so if we multiply (x+1) and (x^2-4x+3) we get ,

= x2(x+1)-4x(x+1)+3(x+1)

= x3+x2-4x^2-4x+3x+3

= x3-3x^2-x+3

HENCE VERIFIED.