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

An aquarium is leaking water at the rate of 3 quarts per day. How many fluid ounces of water is this each hour?
A number is 1/7 of another number. The difference of the numbers is 18. Find the numbers
the hessians main goal for winning the war was/
How did technological advances in printing impact the United States in the 19th century? A) The transfer of information slowed down. Eliminate B) American dema
There are different types of muscle cells, but heart contractions are caused by a specific type of muscle cell. A. True B. False
A historian claims that the boxer rebellion should be blamed entirely on the chinese people, as the boxer movement was started by Chinese. Which of the followin
Which second-person singular pronoun correctly completes this sentence? Which bike is __________? a. yours b. my c. your d. mine
What is a metal that is resistant to corrosion called?
how doe newtons law universal gravitation apply to earth and the moon
luther_____with the german rulers during____revolt