SOLUTION: Help me please!!! Find the nth degree polynomial function with real coefficients satisfying the given conditions n-3;-2 and -2+3i are zeros; leading coefficient is 1 Thank y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help me please!!! Find the nth degree polynomial function with real coefficients satisfying the given conditions n-3;-2 and -2+3i are zeros; leading coefficient is 1 Thank y      Log On


   



Question 383484: Help me please!!!
Find the nth degree polynomial function with real coefficients satisfying the given conditions
n-3;-2 and -2+3i are zeros; leading coefficient is 1
Thank you for your assistance in advance.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the nth degree polynomial function with real coefficients satisfying the given conditions
n=3;-2 and -2+3i are zeros; leading coefficient is 1
-------
If the coefficients are real -2-3i is also a zero.
-------
f(x) = (x-3)(x+2)((x+2)-3i)((x+2)+3i)
----
f(x) = (x^2-x-6)((x+2)^2+9)
----
f(x) = (x^2-x-6)(x^2+4x+13)

=============
Cheers,
Stan H.