Answer:
[tex] x {}^{1} = - 3 \: \: x {}^{2} = 0 \: \: x {}^{3} = 3[/tex]
Step-by-step explanation:
[tex]p(x) = x {}^{3} - 9x[/tex]
- Subtitue P(X)=0
[tex]0 = x {}^{3} - 9x[/tex]
- Swap The Sides
[tex]x {}^{3} - 9x = 0[/tex]
- Factor The Expression
[tex]x \times (x {}^{2} - 9) = 0[/tex]
- Separate Into Possible Cases
[tex]x {}^{2} \\ x {}^{2} - 9 = 0[/tex]
- Solve The Equation
[tex]x = 0 \\ x = - 3 \\ x = 3[/tex]
- The Equation Has 3 Solutions
