Найти корни многочлена третьей степени 1) 4x^3-x=0 2) x^3-x^2-16x+16=0 3) x^3+2x^2-x-2=0 4) 2x^3-x^2-50x+25=0

4x^3-x=0,

x (4x^2-1) = 0,

x1=0,

4x^2-1=0,

x^2=1/4,

x2=-1/2, x3=1/2;

x^3-x^2-16x+16=0,

x^2 (x-1) - 16 (x-1) = 0,

(x-1) (x^2-16) = 0,

(x-1) (x-4) (x+4) = 0,

x-1=0, x1=1,

x-4=0, x2=4,

x+4=0, x3=-4;

x^3+2x^2-x-2=0,

x^2 (x+2) - (x+2) = 0,

(x+2) (x^2-1) = 0,

(x+2) (x-1) (x+1) = 0,

;

2x^3-x^2-50x+25=0,

x^2 (2x-1) - 25 (2x-1) = 0,

(2x-1) (x^2-25) = 0,

(2x-1) (x-5) (x+5) = 0,