SOLUTION: A polynomial or degree3, with integer coefficients that has zeros root3i and o is : x^3 - 2x^2 + 4x : x^3 - x^2 + xroot3i : 3x^3 - 3x^2 + xi : x^3 + 3x : x^3 - x

Algebra.Com
Question 1157623: A polynomial or degree3, with integer coefficients that has zeros root3i and o is
: x^3 - 2x^2 + 4x
: x^3 - x^2 + xroot3i
: 3x^3 - 3x^2 + xi
: x^3 + 3x
: x^3 - x^2 + xroot3i

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Its other zero is the conjugate of 


which is


So its zeros are 
 


If a polynomial of degree n has leading coefficient 1, the coefficient of
xn-1 is the -1 times the sum of all zeros.

The sum of all the zeros is 



which is 0.

The only choice which has 0 for the coefficient of x² is

x^3 + 3x

Edwin
RELATED QUESTIONS

Which is the polynomial with integer coefficients that has degree 3 with zeros 0, -2, and (answered by mccravyedwin)
write a polynomial equation with the integer coefficients that has the roots x=-2... (answered by TimothyLamb)
Find a polynomial function f(x) of the indicated degree with integer coefficients that... (answered by Fombitz)
Find a polynomial function f(x) of the indicated degree with integer coefficients that... (answered by MathLover1)
A polynomial function f(x) with real coefficients has the given degree, zeros, and... (answered by Solver92311,Edwin McCravy)
Can you please help me solve this problem? Find a polynomial function of lowest degree (answered by robertb)
Find a third degree polynomial function f(x) with real coefficients that has -3,-2,and 2... (answered by jsmallt9)
Find the polynomial function with integer coefficients that has-2+i and 4i as two of its... (answered by Boreal)
how do you sketch the graph of a polynomial function that has 3 real zeros, and two... (answered by Theo)