$x^3 + x^2 - 4x - 4 = 0$
$(x^3 + x^2) - (4x + 4) = 0$
$x^2(x + 1) - 4(x + 1) = 0$
$(x + 1)(x^2 - 4) = 0$
(x + 1)(x − 2)(x + 2) = 0
x + 1 = 0
x = −1
или
x − 2 = 0
x = 2
или
x + 2 = 0
x = −2
Ответ: −2; −1; 0.

$y^3 + 2y^2 - 4y - 8 = 0$
$(y^3 + 2y^2) - (4y + 8) = 0$
$y^2(y + 2) - 4(y + 2) = 0$
$(y + 2)(y^2 - 4) = 0$
(y + 2)(y − 2)(y + 2) = 0
$(y + 2)^2(y - 2)$
y + 2 = 0
y = −2
или
y − 2 = 0
y = 2
Ответ: −2; 2.

$9z + 9 - z^3 - z^2 = 0$
$(9z + 9) - (z^3 + z^2) = 0$
$9(z + 1) - z^2(z + 1) = 0$
$(z + 1)(9 - z^2) = 0$
$(z + 1)(3 - z)(3 + z) = 0$
z + 1 = 0
z = −1
или
3 − z = 0
z = 3
или
3 + z = 0
z = −3
Ответ: −3; −1; 3.

$p^3 - p^2 - 4p + 4 = 0$
$(p^3 - p^2) - (4p - 4) = 0$
$p^2(p - 1) - 4(p - 1) = 0$
$(p - 1)(p^2 - 4) = 0$
(p − 1)(p − 2)(p + 2) = 0
p − 1 = 0
p = 1
или
p − 2 = 0
p = 2
или
p + 2 = 0
p = −2
Ответ: −2; 1; 2.