delfina1992 delfina1992
  • 11-05-2022
  • Mathematics
contestada

Determine the number of zeros in the polynomial function f(x)=x^4-4x

Respuesta :

profarouk profarouk
  • 11-05-2022

Answer:

the polynomial function has 2 zeros

Step-by-step explanation:

f(x) = 0

⇔ x⁴ - 4x = 0

⇔ x³ × (x) - 4 × (x) = 0

⇔ x × (x³ - 4) = 0

⇔ x = 0  or  x³ - 4 = 0

⇔ x = 0  or  x³ = 4

[tex]\Leftrightarrow x = 0\ \ or \ \ x=\sqrt[3]{4}=1.587401051968[/tex]

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