SOLUTION: The fourth degree polynomial {{{ x^(4)-10x^(3)+46^(2)-120x+200 }}} has a zero of "1-3i". Find all the roots of the polynomial. So far I know that

SOLUTION: The fourth degree polynomial {{{ x^(4)-10x^(3)+46^(2)-120x+200 }}} has a zero of "1-3i". Find all the roots of the polynomial. So far I know that - There are 4 possible roots.

Question 752730: The fourth degree polynomial has a zero of "1-3i". Find all the roots of the polynomial.
So far I know that -
There are 4 possible roots.
1) 1-3i
2) 1+3i
3)
4)
As you can see, I found 2, but I am struggling immensely with the other two! From what I have deduced they are going to be non-real (they have that "i") but... I'm really struggling! Could you please show me how to find the other two roots? Thank you very much!
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The fourth degree polynomial has a zero of "1-3i". Find all the roots of the polynomial.
So far I know that -
There are 4 possible roots.
1) 1-3i
2) 1+3i
3)
4)
As you can see, I found 2, but I am struggling immensely with the other two! From what I have deduced they are going to be non-real (they have that "i") but... I'm really struggling! Could you please show me how to find the other two roots? Thank you very much!

The polynomial isn't correct. Repost and maybe I'll help, if I'm not that busy!!
RELATED QUESTIONS
Use the Rational Root Theorem to find all the roots of each equation. 4. x'3 +... (answered by stanbon)

A degree 4 polynomial with integer coefficients has zeros −1, −3i and 1, with (answered by MathLover1)

Find the roots of the polynomial function. f(x)=4^3-10x^2-6x =5+-1over 4 what are the... (answered by jim_thompson5910,RAY100)

Find a polynomial P(x) that satisfies all of the given conditions, write using only real... (answered by flame8855)

Write a polynomial function of minimum degree with real coefficents whose zeros include... (answered by jsmallt9)

write the polynomial equation of least degree that has the roots: -3i,3i,i, and... (answered by Alan3354)

Form a polynomial f(x) with real coefficients having the given degree and zeors. Degree... (answered by Edwin McCravy)

Hi, im really having trouble with this one question since i have missed the class this... (answered by Fombitz)

I need help with this problem. Find a fourth degree polynomial with the following... (answered by ewatrrr)