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

Eleven family members are going on a trip together. They have cars that fit only 4 people. How many cars will they need to take?
If A is a 5 x 7 matrix, then the linear system Ax = b (where b is a 7 x 1 matrix) is underdetermined.a. trueb. false
rewrite as a simplified fraction. 3.5 = ?
6. A water flow at a rate of 200 lit/sec along a pipe of 160mm diameter. These pipe further branches into pipe BC and BD each with 4mm diameter and a third pipe
Test plans require input from both end users and information systems specialists. a. trueb. false
"sex limited genes are:"
An individual who has been assigned by their college of pharmacy to a licensed pharmacy for the purpose of obtaining practical experience and their degree is co
Pharmacists must sign the FRONT of a CII prescription.A. True B. False
what is the meaning of belie ?​
what was discovered in 2010 that helped scientists figure out who tuts parents were