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]

Answer Link

Otras preguntas

Picture included-11 points-second time
Please help. Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Which layer of the ocean do you think is most impacted by the Great Pacific Garbage Patch? Explain your answer.
Scott was a member of the seven-person board of directors of Buffalo Corporation. Officers of that corporation were considering a large purchase of new equipmen
The moon's light helped me relax. Stars surrounded it and blinked their lights. I couldn't stop staring at the night sky. I sat down on my bedroom floor and le
1. The President of the United States is the ______________________________ _______________ of the U.S. military.
The Vertebrata have the least number of species in it. True or false
Help me with this ASAP plz!!
Whoever watches the dream smp answer
Carrying capacity is Group of answer choices seldom reached by marine producers and consumers because of the vast resources of the ocean. the maximum population