Question

помогите пожалуйста!!!!!!!!!!

Answer 1

$x^5-x^4-5x^3+x^2+8x+4= \ =x^5+x^4-2x^4-2x^3-3x^3-3x^2+4x^2+4x+4x+4= \ =x^4(x+1)-2x^3(x+1)-3x^2(x+1)+4x(x+1)+4(x+1)= \ =(x+1)(x^4-2x^3-3x^2+4x+4)= \ =(x+1)(x^4+x^3-3x^3-3x^2+4x+4)= \ =(x+1)(x^3(x+1)-3x^2(x+1)+4(x+1))= \ =(x+1)(x+1)(x^3-3x^2+4)= \ =(x+1)^2(x^3+x^2-4x^2-4x+4x+4)= \ =(x+1)^2(x^2(x+1)-4x(x+1)+4(x+1))= \ =(x+1)^2(x+1)(x^2-4x+4)=(x+1)^3(x-2)^2$