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

what is the solution for this equation 13m-22=9m-6. This is a equation with variables on both sides
What letter comes next S,M,H,D,M
Suppose that you are building a shed and need to pour concrete slab to support it you know this lab will be 15 feet wide 10 feet long and 6 inches deep concrete
A horizontal line passes through the point (5, –1). Which point is also on this line? (0, 0) (–1, 5) (5, –4) (–2, –1)
what is 3/8 in simplest form
A tall pea plant could _______. Select one: a. have the phenotype of Tt b. have the genotype of tall c. have the phenotype of tt d. have the genotype of Tt
Jon has $45.00.He plans to spend 4/5 of his money on sports equipment .How much will he spen .Show Work.
What prevents a plant cell from bursting when it's full of water?
How to round 45 grams to the nearest 10 grams
What letter comes next S,M,H,D,M