jelanighenry jelanighenry
  • 19-01-2018
  • Mathematics
contestada

Write the polynomial equations with zero at -5,0 and 3i

Respuesta :

mathmate
mathmate mathmate
  • 19-01-2018
We are given that the zeroes are at
{-5, 0 , 3i}.
By the conjugate pair theorem, -3i, the conjugate of 3i, is automatically a zero for polynomials with real coefficients.

The factors of the polynomial are:
(x+5), x, (x+3i) and (x-3i)
The last two factors multiply to give a real quadratic factor of x^2+9.

Therefore the polynomial is of the form 
f(x)=ax(x+5)(x^2+9)
where a is any non-zero real constant.
Answer Link

Otras preguntas

Solve this differential Equation by using power series y''-x^2y=o
What is meant by Program Memory is paged?
A _________ is a satellite or other spacecraft designed to explore space and transmit data back to Earth.
Name the structural levels within human body (smallest to largest)
Yu-Jun's craft store sells 3 handmade barrettes for $9.99. Which expression can be used to find the total cost C of x barrettes? H C = 3.33x G C = 9.99x J C = 3
wHAT ARE THE 5 LAYERS in the internet protocol stack andwhat are the principal responsibilities of eack of theselayers.?
What is a Linear equation?
is y^6 AND z^2=5 what is the value of y^12 x z^-4
Plz help meh. In a small town in Utah, 40,000 homes used to have land-line phones. If there was a 12.5% decrease, how many homes now have land-line phones?
what are the forms of Hornclause?