SOLUTION: how do I write a polynomial function for 3-i, -1-√5.

Algebra.Com
Question 938554: how do I write a polynomial function for 3-i, -1-√5.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how do I write a polynomial function for 3-i, -1-√5.
=================
Assuming you want a polynomial with those roots,
----
y = (x-(3-i))(x-(-1-sqrt(5))
-----
y = x^2 -(3-i-1-sqrt(5))x +(-3+i-3sqrt(5)+isqrt(5))
-----
y = x^2 -(2-i-sqrt(5))x - 3(1+sqrt(5)) + i(1+sqrt(5))
=================
Cheers,
Stan H.
-----------------

RELATED QUESTIONS

How do I write a polynomial function with the zeros: -1,... (answered by Alan3354)
I have to write a polynomial Function using these roots -1,-1,1 How do I do... (answered by jsmallt9)
write a polynomial function for the set of zeros : x= 3+i,... (answered by stanbon)
I don't know how to do this. Determine the values for the variable that will make... (answered by stanbon)
How do I write an equation for a polynomial function F of least degree that has rational... (answered by richwmiller)
How do I write a rule for each function? x: f(x): -1 -11 0 -5 1 1 (answered by stanbon)
How do i try and work out a polynomial? The question i have gotten is which one of... (answered by rothauserc)
How do I simplify... (answered by jsmallt9)
Write a quadratic function having the given solutions: -5, 3 How do I do... (answered by drj)