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graphing polynomial function, solve the p(x)=x³-9x​

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Diegosagayap63viz

Answer:

[tex] x {}^{1} = - 3 \: \: x {}^{2} = 0 \: \: x {}^{3} = 3[/tex]

Step-by-step explanation:

[tex]p(x) = x {}^{3} - 9x[/tex]

  1. Subtitue P(X)=0

[tex]0 = x {}^{3} - 9x[/tex]

  1. Swap The Sides

[tex]x {}^{3} - 9x = 0[/tex]

  1. Factor The Expression

[tex]x \times (x {}^{2} - 9) = 0[/tex]

  1. Separate Into Possible Cases

[tex]x {}^{2} \\ x {}^{2} - 9 = 0[/tex]

  1. Solve The Equation

[tex]x = 0 \\ x = - 3 \\ x = 3[/tex]

  1. The Equation Has 3 Solutions

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