MisaelD57154 MisaelD57154
  • 03-11-2022
  • Mathematics
contestada

Write a polynomial function f of least degree that has real coefficients, a leading coefficient of1 and the following zeros: -3 and 4i

Respuesta :

MahadH437123 MahadH437123
  • 03-11-2022

Let the polynomial function be f(x)

Given that f(x) has two zeroes -3 and 4i

Then, f(x) can be written as

f(x)=[x-(-3)](x-4i)

On multiplying,

f(x)=(x+3)(x-4i)

=x^2+(3-4i)x-12i

The leading coefficient is 1 and the roots are -3 and 4i

Answer Link

Otras preguntas

Determine whether the sequence coverage or diverges. If it converges, give the limit. 48, 8, 4/3, 2/9, ...
Explain how a species can evolve through natural selection.
which factor made the most difference in how agriculture affected the economies of the colonies?
If Walt can paint 25 feet of fence in an hour, and Joe can paint 35 feet in an hour, how many minutes will it take them to paint a 150-foot fence, if they work
Does every point lie in a quadrant?
Write a system of equations with a solution (4,–3)
Why was is difficult for the Arab people to form one nation?
Find all powers of 4 in range 4 through 1,000
Which of the kingdoms has the smallest number of known species
How many atoms are in 0.750 moles of zinc?