Vanishing Method or Trial Method

Factorize using factor theorem:
${\mathrm{x}}^3-3\mathrm{x}+2$

Factorize using factor theorem:
${\mathrm{x}}^3+5\mathrm{x}+6$

Factorize using factor theorem:
${\mathrm{x}}^3-7\mathrm{x}-6$

Factorize using factor theorem:
$3{\mathrm{y}}^3+2\mathrm{y}+5$

Factorize using factor theorem:
${\mathrm{x}}^3+5\mathrm{x}-6$

Factorize using factor theorem:
${\mathrm{a}}^3-7\mathrm{a}+6$

Factorize using factor theorem:
$2{\mathrm{a}}^3-{\mathrm{a}}^2-1$

Factorize using factor theorem:
${\mathrm{a}}^3-12\mathrm{a}-16$

Factorize using factor theorem:
${\mathrm{x}}^3-4\mathrm{x}+3$