AsterS91512 AsterS91512
  • 26-10-2022
  • Mathematics
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Solve the equation x^3+2x^2-5x-6=0 given that 2 is a zero of f(x) = x^3+2x^2-5x-6

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SebastainM667640 SebastainM667640
  • 26-10-2022

Given

[tex]x^3+2x^2-5x-6=0[/tex]

2 is the zero of the polynomial

Answer

If 2 is zero of polynomial then x-2 is a factor dividing the polynomial by x-2

[tex]\begin{gathered} x^3+2x^2-5x-6=(x-1)(x^2+4x+3) \\ (x-2)(x+1)(x+3) \end{gathered}[/tex]

Zeros are = {2,-1,-3}

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