Answer:x=-3,-2,3
Step-by-step explanation:
Given equation of polynomial is
[tex]x^{3}+2x^2-9x-18=0[/tex]
taking [tex]x^3[/tex] and -9x together and remaining together we get
[tex]x^3-9x+2x^2-18=0[/tex]
[tex]x\left ( x^2-9\right )+2\left ( x^2-9\right )[/tex]
[tex]x\left ( \left ( x+3\right )\left ( x-3\right )\right )+2\left ( \left ( x+3\right )\left ( x-3\right )\right )[/tex]
[tex]taking \left ( x+3\right )\left ( x-3\right ) as common[/tex]
[tex]\left ( x+2\right )\left ( x+3\right )\left ( x-3\right )=0[/tex]
therefore
x=-3,-2,3
