SOLUTION: State the number of complex zeros, the possible number or real and imaginary zeros, and the possible rational zeros for the function. Then find all zeros f(x)= x^3+1

Question 975579: State the number of complex zeros, the possible number or real and imaginary zeros, and the possible rational zeros for the function. Then find all zeros
f(x)= x^3+1
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x^3+1=0
This has 3 possible zeros. If there are any complex zeros, there can only be 1 rational root, since the complex zeros are conjugate. If there are two rational zeros, they have to be the same.
(x+1) (x^2-x+1)=0, factoring a sum of cubes.
There is 1 rational root, , -1
There are two complex roots
x=(1/2) 1 +./- sqrt (1-4)= (1/2)+/- (1/2) * i * (sqrt 3)

RELATED QUESTIONS
State the number of positive real zeros, negative real zeros, and imaginary zeros for... (answered by Nate)

state the number of positive real zeros, negative real zeros, and imaginary zeros for... (answered by richwmiller)

Given the polynomial, determine the following information: (DOK 2) List your answers by... (answered by Boreal)

Find all zeros for the function,the total number of zeros, the number of real zeros, and... (answered by ewatrrr)

These will be the last questions. Please help 1. List all of the possible rational... (answered by jim_thompson5910)

State the possible number of positive real zeros, negative real zeros & imaginary zero of (answered by kev82)

I need help on this problem. State the possible number of positive real zeros,... (answered by vleith)

State the possible number of imaginary zeros of f(x) = 10x^3 - 4x^2 + 2x -... (answered by solver91311)

State the number of positive real zeros, negative real zeros, and imaginary zeros for... (answered by Fombitz,stanbon)