Marianne146 Marianne146
  • 26-07-2022
  • Mathematics
contestada

Find the zeros of the following
please solve step by step
1. x³+9x²+26x+24=0

Respuesta :

Medunno13
Medunno13 Medunno13
  • 27-07-2022

Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know [tex]x=-2[/tex] is a root.

We can thus rewrite the equation as

[tex](x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2[/tex]

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