liamr60749 liamr60749
  • 04-07-2022
  • Mathematics
contestada

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?

Respuesta :

djp6182583 djp6182583
  • 04-07-2022

Answer:

x^4 - 3x^2 - 4.

Step-by-step explanation:

Imaginary roots  occur as conjugate pairs  so a 4th roots is -i.

So in factor form we have:

f(x) = (x - 2)(x + 2)(x - i)x + i)

     = (x^2 + 1)(x - 2)(x + 2)

     = (x^2 + 1)(x^2 - 4)

      = x^4 - 3x^2 - 4.

Answer Link

Otras preguntas

The two major veins joining into the superior vena cava are the
Not a homework question, but does anyone know how to identify fin rot? I have no idea, but every betta I had has had what I claim to be fin rot has died quickly
When facing public speaking anxiety, the goal for the speaker should be to?
HELP PLEASE!!!!!! I GIVE MARK BRAINLIST!!
The radius and height of a right cylinder are each multiplied by 2. what is that change in the total surface area of the cylinder
The equation y = x + 1 defines the relationship between x and y, where x is the input and y is the output. Which statements about the graph of this relationsh
sombody please help me fast
Why did african leaders participate in the slave trade?
The avrage year after year conditions in an aria is called?
compare the use of thou in shakespeare and the king james version of the bible