acmv1699
acmv1699 acmv1699
  • 14-06-2021
  • Mathematics
contestada

Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.

Find a thirddegree polynomial equation with rational coefficients that has roots 5 and 6 i class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 14-06-2021

The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+i is a root, so 6-i is also a root.

So the simplest polynomial you can build with these roots is

(x - (-5)) (x - (6 + i )) (x - (6 - i )) = x ^3 - 7x ^2 - 23x + 185

(first choice)

Answer Link

Otras preguntas

On,a farm there is some cows and chickens.if the animals have a total of 40 heads and 112 legs.how many cows are there
Two of the inner planets are ____. avenus and saturn bmars and venus cmercury and jupiter dearth and pluto
What were the two whole numbers of 5x(8 3)?
if you want to increase your muscular endurance, which workout would be the BEST suited to help reach your goals
6(n-8) greater than or equal to -18
The schematic of a rectangular patio is drawn 1/4 inch to 1 feet. if the patio is 18 feet long, what is the measure of the patio's length on the schematic?
volume of solid of revolution?
Tickets to a museum cost $17 each. for a field trip, the museum offers a $4 discount on each ticket. how much will tickets for 32 students coast?
So your the number 4 on your calculator and you need to get 40 how do you get it
If you wanted to know if a particular mountain was formed by movement along a fault, what would you look for