SOLUTION: what is the polynomial of least degree that includes the zeroes -5, 1+3i, 1-3i?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: what is the polynomial of least degree that includes the zeroes -5, 1+3i, 1-3i?      Log On


   



Question 549291: what is the polynomial of least degree that includes the zeroes -5, 1+3i, 1-3i?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the polynomial of least degree that includes the zeroes -5, 1+3i, 1-3i?
f(x) = (x+5)(x-1-5i)(x-1+5i)
----
f(x) = (x+5)((x-1)^2+25)
---
f(x) = (x+5)(x^2-2x+26)
----
f(x) = x^3+3x^2+16x+130
============================
Cheers,
Stan H.