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

What is the following sum in simplest form sqrt8+3sqrt2+sqrt32 please HURRY
Which best describes the graph of the function f(x) = 4(1.5)"? The graph passes through the point (0,4), and for each increase of 1 in the x-values, the y-value
Geometry question! Please help!
Find the slope of the line that passes through the points (-1, 1) and (2, 7).
what is the factorization of the polynomial below? x^2+6x+8
The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and a standard deviation of $9. If a
3. Which of the following could be a consequence of exercising and sweating on a day that's already hot? O A. Hypothermia O B. Heart attack O C. Heatstroke O D.
Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.
Which of the following is true for all exergonic reactions? The reaction releases energy. A net input of energy from the surroundings is required for the reacti
Chaque année le Guide Michelin sélectionne les .Les de l'hôtellerie attendent la sortie du Guide avec impatience.Les restaurants peuvent (can) recevoir un maxim