karagailey544 karagailey544
  • 03-04-2020
  • Mathematics
contestada

All zeros of the polynomial function 3x^3 + 2x^2

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 03-04-2020

Answer:

[tex]x = 0, -2/3[/tex]

Step-by-step explanation:

Step 1:  Factor out an x^2

[tex]3x^3+2x^2[/tex]

[tex]x^2(3x + 2)[/tex]

Step 2:  Find the zeros

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

[tex]x = 0[/tex] → Double Root

[tex]3x + 2 - 2 = 0 - 2[/tex]

[tex]\frac{3x}{3} = \frac{-2}{3}[/tex]

[tex]x = -2/3[/tex] → Single Root

Answer:  [tex]x = 0, -2/3[/tex]

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