SOLUTION: How do i find a polynomial of least degree with only rea coefficients and having the given zeros 2-i, -6

Algebra.Com
Question 980528: How do i find a polynomial of least degree with only rea coefficients and having the given zeros 2-i, -6

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
How do i find a polynomial of least degree with only rea coefficients and having the given zeros 2-i, -6
--------------
If 2-i is a zero, then 2+i is also.
--> (x-2-i)*(x-2+i)*(x+6)
--> (x^2 - 4x + 5)*(x+6)
= x^3 + 2x^2 - 19x + 30

RELATED QUESTIONS

5+i and 1+4i Find a polynomial function f(x) of least degree having only real... (answered by ikleyn,MathLover1)
Find a polynomial function f(x) of least degree having only real coefficients and zeros... (answered by ikleyn)
find a real polynomial of least degree having real coefficients with zeros -2, 3, and... (answered by stanbon)
Find a polynomial f(x)with real coefficients having the given degree and zeros Degree 5... (answered by josgarithmetic)
Form a polynomial f(x) with real coefficients having the given degree and zeros.... (answered by swincher4391)
Form a polynomial f left parenthesis x right parenthesis f(x) with real coefficients... (answered by solver91311)
Form a polynomial f(x) with real coefficients having the given degree and zeors. Degree... (answered by Edwin McCravy)
find a polynomial function of least degree having only real coefficients, a leading... (answered by Fombitz)
Find a polynomial function f(x) of least degree having only real coefficients with zeros... (answered by robertb)